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Algebraic Topology Oct 2022
<!DOCTYPE html> <html lang="en"> <head> <title>Algebraic Topology Oct 2022</title> <meta name="viewport" content="width=device-width, initial-scale=1"> <link rel="apple-touch-icon" sizes="180x180" href="/static/browse/0.3.4/images/icons/apple-touch-icon.png"> <link rel="icon" type="image/png" sizes="32x32" href="/static/browse/0.3.4/images/icons/favicon-32x32.png"> <link rel="icon" type="image/png" sizes="16x16" href="/static/browse/0.3.4/images/icons/favicon-16x16.png"> <link rel="manifest" href="/static/browse/0.3.4/images/icons/site.webmanifest"> <link rel="mask-icon" href="/static/browse/0.3.4/images/icons/safari-pinned-tab.svg" color="#5bbad5"> <meta name="msapplication-TileColor" content="#da532c"> <meta name="theme-color" content="#ffffff"> <link rel="stylesheet" type="text/css" media="screen" href="/static/browse/0.3.4/css/arXiv.css?v=20241206" /> <link rel="stylesheet" type="text/css" media="print" href="/static/browse/0.3.4/css/arXiv-print.css?v=20200611" /> <link 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href=/list/math.AT/2022-10?skip=0&show=2000 rel="nofollow"> all</a> </div> <dl id='articles'> <dt> <a name='item1'>[1]</a> <a href ="/abs/2210.00186" title="Abstract" id="2210.00186"> arXiv:2210.00186 </a> [<a href="/pdf/2210.00186" title="Download PDF" id="pdf-2210.00186" aria-labelledby="pdf-2210.00186">pdf</a>, <a href="/format/2210.00186" title="Other formats" id="oth-2210.00186" aria-labelledby="oth-2210.00186">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Descent for sheaves on compact Hausdorff spaces </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Haine,+P+J">Peter J. Haine</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 25 pages. Comments very welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item2'>[2]</a> <a href ="/abs/2210.00205" title="Abstract" id="2210.00205"> arXiv:2210.00205 </a> [<a href="/pdf/2210.00205" title="Download PDF" id="pdf-2210.00205" aria-labelledby="pdf-2210.00205">pdf</a>, <a href="/format/2210.00205" title="Other formats" id="oth-2210.00205" aria-labelledby="oth-2210.00205">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Borsuk-Ulam property and Sectional Category </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Zapata,+C+A+I">Cesar A. Ipanaque Zapata</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Gon%C3%A7alves,+D+L">Daciberg L. Gon莽alves</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 19 pages. We present a proof that the index of $(X,蟿)$ always coincides with the sectional category of the quotient map $q:X\to X/蟿$ minus 1 for any paracompact space $X$ (Theorem 3.39) </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Bulletin of the Iranian Mathematical Society. 49, 41 (2023) </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item3'>[3]</a> <a href ="/abs/2210.00388" title="Abstract" id="2210.00388"> arXiv:2210.00388 </a> [<a href="/pdf/2210.00388" title="Download PDF" id="pdf-2210.00388" aria-labelledby="pdf-2210.00388">pdf</a>, <a href="/format/2210.00388" title="Other formats" id="oth-2210.00388" aria-labelledby="oth-2210.00388">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A homological nerve theorem for open covers </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Gillespie,+P">Patrick Gillespie</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 7 pages, 1 figure </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item4'>[4]</a> <a href ="/abs/2210.00536" title="Abstract" id="2210.00536"> arXiv:2210.00536 </a> [<a href="/pdf/2210.00536" title="Download PDF" id="pdf-2210.00536" aria-labelledby="pdf-2210.00536">pdf</a>, <a href="/format/2210.00536" title="Other formats" id="oth-2210.00536" aria-labelledby="oth-2210.00536">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Representations up to coherent homotopy </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Porter,+T">Tim Porter</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Stasheff,+J">Jim Stasheff</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item5'>[5]</a> <a href ="/abs/2210.00559" title="Abstract" id="2210.00559"> arXiv:2210.00559 </a> [<a href="/pdf/2210.00559" title="Download PDF" id="pdf-2210.00559" aria-labelledby="pdf-2210.00559">pdf</a>, <a href="/format/2210.00559" title="Other formats" id="oth-2210.00559" aria-labelledby="oth-2210.00559">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Randomized simplicial sets </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Marin,+I">Ivan Marin</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Probability (math.PR) </div> </div> </dd> <dt> <a name='item6'>[6]</a> <a href ="/abs/2210.00607" title="Abstract" id="2210.00607"> arXiv:2210.00607 </a> [<a href="/pdf/2210.00607" title="Download PDF" id="pdf-2210.00607" aria-labelledby="pdf-2210.00607">pdf</a>, <a href="/format/2210.00607" title="Other formats" id="oth-2210.00607" aria-labelledby="oth-2210.00607">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Verifying the Hilali conjecture up to formal dimension twenty </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Cattalani,+S">Spencer Cattalani</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Milivojevi%C4%87,+A">Aleksandar Milivojevi膰</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 9 pages. Initiated as part of the Stony Brook Directed Reading Program, 2019. Published in Journal of Homotopy and Related Structures, 2020 </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> J. Homotopy Relat. Struct. 15 (2020), no. 2, 323-331 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item7'>[7]</a> <a href ="/abs/2210.00682" title="Abstract" id="2210.00682"> arXiv:2210.00682 </a> [<a href="/pdf/2210.00682" title="Download PDF" id="pdf-2210.00682" aria-labelledby="pdf-2210.00682">pdf</a>, <a href="/format/2210.00682" title="Other formats" id="oth-2210.00682" aria-labelledby="oth-2210.00682">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A K-theory spectrum for cobordism cut and paste groups </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hoekzema,+R+S">Renee S. Hoekzema</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Rovi,+C">Carmen Rovi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Semikina,+J">Julia Semikina</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 31 pages, 4 figures. Improved readability, and incorporated referee comments </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Category Theory (math.CT); Geometric Topology (math.GT); K-Theory and Homology (math.KT) </div> </div> </dd> <dt> <a name='item8'>[8]</a> <a href ="/abs/2210.00839" title="Abstract" id="2210.00839"> arXiv:2210.00839 </a> [<a href="/pdf/2210.00839" title="Download PDF" id="pdf-2210.00839" aria-labelledby="pdf-2210.00839">pdf</a>, <a href="/format/2210.00839" title="Other formats" id="oth-2210.00839" aria-labelledby="oth-2210.00839">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A recognition principle for iterated suspensions as coalgebras over the little cubes operad </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Flynn-Connolly,+O">Ois铆n Flynn-Connolly</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Moreno-Fern%C3%A1ndez,+J+M">Jos茅 M. Moreno-Fern谩ndez</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wierstra,+F">Felix Wierstra</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item9'>[9]</a> <a href ="/abs/2210.00916" title="Abstract" id="2210.00916"> arXiv:2210.00916 </a> [<a href="/pdf/2210.00916" title="Download PDF" id="pdf-2210.00916" aria-labelledby="pdf-2210.00916">pdf</a>, <a href="/format/2210.00916" title="Other formats" id="oth-2210.00916" aria-labelledby="oth-2210.00916">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> One Diamond to Rule Them All: Old and new topics about zigzag, levelsets and extended persistence </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Berkouk,+N">Nicolas Berkouk</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Nyckees,+L">Luca Nyckees</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Computational Geometry (cs.CG) </div> </div> </dd> <dt> <a name='item10'>[10]</a> <a href ="/abs/2210.00952" title="Abstract" id="2210.00952"> arXiv:2210.00952 </a> [<a href="/pdf/2210.00952" title="Download PDF" id="pdf-2210.00952" aria-labelledby="pdf-2210.00952">pdf</a>, <a href="/format/2210.00952" title="Other formats" id="oth-2210.00952" aria-labelledby="oth-2210.00952">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Subgroup collections controlling the homotopy type of a $p$-local compact group </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Belmont,+E">Eva Belmont</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Castellana,+N">Nat脿lia Castellana</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Lesh,+K">Kathryn Lesh</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 18 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item11'>[11]</a> <a href ="/abs/2210.01304" title="Abstract" id="2210.01304"> arXiv:2210.01304 </a> [<a href="/pdf/2210.01304" title="Download PDF" id="pdf-2210.01304" aria-labelledby="pdf-2210.01304">pdf</a>, <a href="/format/2210.01304" title="Other formats" id="oth-2210.01304" aria-labelledby="oth-2210.01304">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Derived Character Maps of Groups Representations </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Berest,+Y">Yuri Berest</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ramadoss,+A+C">Ajay C. Ramadoss</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 38 pages </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Algebr. Geom. Topol. 24 (2024) 4991-5044 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Category Theory (math.CT); K-Theory and Homology (math.KT); Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item12'>[12]</a> <a href ="/abs/2210.01856" title="Abstract" id="2210.01856"> arXiv:2210.01856 </a> [<a href="/pdf/2210.01856" title="Download PDF" id="pdf-2210.01856" aria-labelledby="pdf-2210.01856">pdf</a>, <a href="/format/2210.01856" title="Other formats" id="oth-2210.01856" aria-labelledby="oth-2210.01856">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The GKM correspondence in dimension 6 </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Goertsches,+O">Oliver Goertsches</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Konstantis,+P">Panagiotis Konstantis</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zoller,+L">Leopold Zoller</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 59 pages, 12 figures; generalized Theorem 5.11, added an example in Section 5.6 which shows that Theorem 5.11 is false without the new conditions </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item13'>[13]</a> <a href ="/abs/2210.02569" title="Abstract" id="2210.02569"> arXiv:2210.02569 </a> [<a href="/pdf/2210.02569" title="Download PDF" id="pdf-2210.02569" aria-labelledby="pdf-2210.02569">pdf</a>, <a href="https://arxiv.org/html/2210.02569v3" title="View HTML" id="html-2210.02569" aria-labelledby="html-2210.02569" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2210.02569" title="Other formats" id="oth-2210.02569" aria-labelledby="oth-2210.02569">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Semi-coarse Spaces, Homotopy and Homology </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Rieser,+A">Antonio Rieser</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Trevi%C3%B1o-Marroqu%C3%ADn,+J">Jonathan Trevi帽o-Marroqu铆n</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 56 pages. We moved some subsections to an appendix in order to focus in semi-coarse homotopy and homology and to make reading easier. We also added a discussion section in which we summarize the main results of the paper </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; General Topology (math.GN); Geometric Topology (math.GT) </div> </div> </dd> <dt> <a name='item14'>[14]</a> <a href ="/abs/2210.03284" title="Abstract" id="2210.03284"> arXiv:2210.03284 </a> [<a href="/pdf/2210.03284" title="Download PDF" id="pdf-2210.03284" aria-labelledby="pdf-2210.03284">pdf</a>, <a href="/format/2210.03284" title="Other formats" id="oth-2210.03284" aria-labelledby="oth-2210.03284">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Milnor operations and classifying spaces </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kameko,+M">Masaki Kameko</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 11 pages, accepted for publication in the Proceedings of the American Mathematical Society </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Proc. Amer. Math. Soc. Series B, vol.10, 262--272 (2023) </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item15'>[15]</a> <a href ="/abs/2210.04548" title="Abstract" id="2210.04548"> arXiv:2210.04548 </a> [<a href="/pdf/2210.04548" title="Download PDF" id="pdf-2210.04548" aria-labelledby="pdf-2210.04548">pdf</a>, <a href="/format/2210.04548" title="Other formats" id="oth-2210.04548" aria-labelledby="oth-2210.04548">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A Homotopy Theoretic Analogue to a Theorem of Wall </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Chenery,+S">Sebastian Chenery</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 19 pages, comments welcome. Newer versions of parts of Sections 2 and 3 are now contained in <a href="https://arxiv.org/abs/2304.12726" data-arxiv-id="2304.12726" class="link-https">arXiv:2304.12726</a> [math.AT] </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item16'>[16]</a> <a href ="/abs/2210.04727" title="Abstract" id="2210.04727"> arXiv:2210.04727 </a> [<a href="/pdf/2210.04727" title="Download PDF" id="pdf-2210.04727" aria-labelledby="pdf-2210.04727">pdf</a>, <a href="/format/2210.04727" title="Other formats" id="oth-2210.04727" aria-labelledby="oth-2210.04727">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The connective K-theory of the Eilenberg-MacLane space K(Z/p,2) </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Davis,+D+M">Donald M. Davis</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wilson,+W+S">W. Stephen Wilson</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> minor changes, submitted for publication </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item17'>[17]</a> <a href ="/abs/2210.05124" title="Abstract" id="2210.05124"> arXiv:2210.05124 </a> [<a href="/pdf/2210.05124" title="Download PDF" id="pdf-2210.05124" aria-labelledby="pdf-2210.05124">pdf</a>, <a href="/format/2210.05124" title="Other formats" id="oth-2210.05124" aria-labelledby="oth-2210.05124">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Persistence Diagram Bundles: A Multidimensional Generalization of Vineyards </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hickok,+A">Abigail Hickok</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 40 pages, 8 figures. Substantial mathematical additions and expository changes throughout </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Computational Geometry (cs.CG) </div> </div> </dd> <dt> <a name='item18'>[18]</a> <a href ="/abs/2210.05432" title="Abstract" id="2210.05432"> arXiv:2210.05432 </a> [<a href="/pdf/2210.05432" title="Download PDF" id="pdf-2210.05432" aria-labelledby="pdf-2210.05432">pdf</a>, <a href="/format/2210.05432" title="Other formats" id="oth-2210.05432" aria-labelledby="oth-2210.05432">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Bundle Transfer of L-Homology Orientation Classes for Singular Spaces </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Banagl,+M">Markus Banagl</a></div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Algebr. Geom. Topol. 24 (2024) 2579-2618 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item19'>[19]</a> <a href ="/abs/2210.05527" title="Abstract" id="2210.05527"> arXiv:2210.05527 </a> [<a href="/pdf/2210.05527" title="Download PDF" id="pdf-2210.05527" aria-labelledby="pdf-2210.05527">pdf</a>, <a href="/format/2210.05527" title="Other formats" id="oth-2210.05527" aria-labelledby="oth-2210.05527">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Rational circle-equivariant elliptic cohomology of CP(V) </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Barucco,+M">Matteo Barucco</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 30 pages. arXiv admin note: text overlap with <a href="https://arxiv.org/abs/2205.09660" data-arxiv-id="2205.09660" class="link-https">arXiv:2205.09660</a> </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Algebraic Geometry (math.AG); Category Theory (math.CT) </div> </div> </dd> <dt> <a name='item20'>[20]</a> <a href ="/abs/2210.05914" title="Abstract" id="2210.05914"> arXiv:2210.05914 </a> [<a href="/pdf/2210.05914" title="Download PDF" id="pdf-2210.05914" aria-labelledby="pdf-2210.05914">pdf</a>, <a href="/format/2210.05914" title="Other formats" id="oth-2210.05914" aria-labelledby="oth-2210.05914">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> New families of manifolds with similar cohomology rings admitting special generic maps </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kitazawa,+N">Naoki Kitazawa</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 15 pages, errors on important ingredients corrected, this will be improved before submission to a refereed journal </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item21'>[21]</a> <a href ="/abs/2210.06234" title="Abstract" id="2210.06234"> arXiv:2210.06234 </a> [<a href="/pdf/2210.06234" title="Download PDF" id="pdf-2210.06234" aria-labelledby="pdf-2210.06234">pdf</a>, <a href="/format/2210.06234" title="Other formats" id="oth-2210.06234" aria-labelledby="oth-2210.06234">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Low-dimensional GKM theory </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Goertsches,+O">Oliver Goertsches</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Konstantis,+P">Panagiotis Konstantis</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zoller,+L">Leopold Zoller</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 31 pages, 2 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Differential Geometry (math.DG) </div> </div> </dd> <dt> <a name='item22'>[22]</a> <a href ="/abs/2210.06424" title="Abstract" id="2210.06424"> arXiv:2210.06424 </a> [<a href="/pdf/2210.06424" title="Download PDF" id="pdf-2210.06424" aria-labelledby="pdf-2210.06424">pdf</a>, <a href="/format/2210.06424" title="Other formats" id="oth-2210.06424" aria-labelledby="oth-2210.06424">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Computing Persistence Diagram Bundles </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hickok,+A">Abigail Hickok</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 21 pages, 8 figures. Expository changes throughout </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Computational Geometry (cs.CG) </div> </div> </dd> <dt> <a name='item23'>[23]</a> <a href ="/abs/2210.06573" title="Abstract" id="2210.06573"> arXiv:2210.06573 </a> [<a href="/pdf/2210.06573" title="Download PDF" id="pdf-2210.06573" aria-labelledby="pdf-2210.06573">pdf</a>, <a href="https://arxiv.org/html/2210.06573v2" title="View HTML" id="html-2210.06573" aria-labelledby="html-2210.06573" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2210.06573" title="Other formats" id="oth-2210.06573" aria-labelledby="oth-2210.06573">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Mapping class groups of $h$-cobordant manifolds </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Mu%C3%B1oz-Ech%C3%A1niz,+S">Samuel Mu帽oz-Ech谩niz</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 30 pages, 4 figures. v2: minor updates </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Geometric Topology (math.GT) </div> </div> </dd> <dt> <a name='item24'>[24]</a> <a href ="/abs/2210.06580" title="Abstract" id="2210.06580"> arXiv:2210.06580 </a> [<a href="/pdf/2210.06580" title="Download PDF" id="pdf-2210.06580" aria-labelledby="pdf-2210.06580">pdf</a>, <a href="/format/2210.06580" title="Other formats" id="oth-2210.06580" aria-labelledby="oth-2210.06580">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On Finite domination and Poincar茅 duality </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Klein,+J+R">John R. Klein</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Final version. To appear in Homology, Homotopy and Applications </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Geometric Topology (math.GT); K-Theory and Homology (math.KT) </div> </div> </dd> <dt> <a name='item25'>[25]</a> <a href ="/abs/2210.06625" title="Abstract" id="2210.06625"> arXiv:2210.06625 </a> [<a href="/pdf/2210.06625" title="Download PDF" id="pdf-2210.06625" aria-labelledby="pdf-2210.06625">pdf</a>, <a href="/format/2210.06625" title="Other formats" id="oth-2210.06625" aria-labelledby="oth-2210.06625">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Hecke operators in Morava $E$-theories of different heights </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Torii,+T">Takeshi Torii</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 24 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item26'>[26]</a> <a href ="/abs/2210.07081" title="Abstract" id="2210.07081"> arXiv:2210.07081 </a> [<a href="/pdf/2210.07081" title="Download PDF" id="pdf-2210.07081" aria-labelledby="pdf-2210.07081">pdf</a>, <a href="/format/2210.07081" title="Other formats" id="oth-2210.07081" aria-labelledby="oth-2210.07081">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Jordan property for homeomorphism groups and almost fixed point property </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Riera,+I+M+i">Ignasi Mundet i Riera</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 15 pages, comments welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Group Theory (math.GR); Geometric Topology (math.GT) </div> </div> </dd> <dt> <a name='item27'>[27]</a> <a href ="/abs/2210.07511" title="Abstract" id="2210.07511"> arXiv:2210.07511 </a> [<a href="/pdf/2210.07511" title="Download PDF" id="pdf-2210.07511" aria-labelledby="pdf-2210.07511">pdf</a>, <a href="/format/2210.07511" title="Other formats" id="oth-2210.07511" aria-labelledby="oth-2210.07511">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Twisted Real quasi-elliptic cohomology </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Huan,+Z">Zhen Huan</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Young,+M+B">Matthew B. Young</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 46 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item28'>[28]</a> <a href ="/abs/2210.07545" title="Abstract" id="2210.07545"> arXiv:2210.07545 </a> [<a href="/pdf/2210.07545" title="Download PDF" id="pdf-2210.07545" aria-labelledby="pdf-2210.07545">pdf</a>, <a href="/format/2210.07545" title="Other formats" id="oth-2210.07545" aria-labelledby="oth-2210.07545">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Hypergraphs for multiscale cycles in structured data </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Barbensi,+A">Agnese Barbensi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Yoon,+I+H">Iris H.R. Yoon</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Madsen,+C+D">Christian Degnbol Madsen</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ajayi,+D+O">Deborah O. Ajayi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Stumpf,+M+P">Michael P.H. Stumpf</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Harrington,+H+A">Heather A. Harrington</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 6 Figures, 15 pages and Supplementary Information (including figures) as an Appendix. Associated GitHub repositories: <a href="http://github.com/degnbol/hyperTDA" rel="external noopener nofollow" class="link-external link-http">this http URL</a> and <a href="http://github.com/irishryoon/minimal_generators_curves" rel="external noopener nofollow" class="link-external link-http">this http URL</a> </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Computational Geometry (cs.CG); Quantitative Methods (q-bio.QM) </div> </div> </dd> <dt> <a name='item29'>[29]</a> <a href ="/abs/2210.08082" title="Abstract" id="2210.08082"> arXiv:2210.08082 </a> [<a href="/pdf/2210.08082" title="Download PDF" id="pdf-2210.08082" aria-labelledby="pdf-2210.08082">pdf</a>, <a href="https://arxiv.org/html/2210.08082v3" title="View HTML" id="html-2210.08082" aria-labelledby="html-2210.08082" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2210.08082" title="Other formats" id="oth-2210.08082" aria-labelledby="oth-2210.08082">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On higher scissors congruence </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Malkiewich,+C">Cary Malkiewich</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> v3: Expanded introduction and changed title to be more accessible to non-homotopy theorists. The original title was "Scissors congruence $K$-theory is a Thom spectrum." </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; K-Theory and Homology (math.KT) </div> </div> </dd> <dt> <a name='item30'>[30]</a> <a href ="/abs/2210.08310" title="Abstract" id="2210.08310"> arXiv:2210.08310 </a> [<a href="/pdf/2210.08310" title="Download PDF" id="pdf-2210.08310" aria-labelledby="pdf-2210.08310">pdf</a>, <a href="/format/2210.08310" title="Other formats" id="oth-2210.08310" aria-labelledby="oth-2210.08310">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Formality and finiteness in rational homotopy theory </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Suciu,+A+I">Alexander I. Suciu</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 81 pages; prepared for a volume dedicated to Dennis Sullivan's 80th birthday </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> EMS Surveys in Mathematical Sciences 10 (2023), no. 2, 321-403 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item31'>[31]</a> <a href ="/abs/2210.08622" title="Abstract" id="2210.08622"> arXiv:2210.08622 </a> [<a href="/pdf/2210.08622" title="Download PDF" id="pdf-2210.08622" aria-labelledby="pdf-2210.08622">pdf</a>, <a href="https://arxiv.org/html/2210.08622v3" title="View HTML" id="html-2210.08622" aria-labelledby="html-2210.08622" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2210.08622" title="Other formats" id="oth-2210.08622" aria-labelledby="oth-2210.08622">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Equivariant enumerative geometry </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Brazelton,+T">Thomas Brazelton</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Rewrites to the discussions of Pontryagin-Thom transfers, general additions to improve readability. 34 pages, comments welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item32'>[32]</a> <a href ="/abs/2210.08891" title="Abstract" id="2210.08891"> arXiv:2210.08891 </a> [<a href="/pdf/2210.08891" title="Download PDF" id="pdf-2210.08891" aria-labelledby="pdf-2210.08891">pdf</a>, <a href="/format/2210.08891" title="Other formats" id="oth-2210.08891" aria-labelledby="oth-2210.08891">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A Simplified Algorithm for Identifying Abnormal Changes in Dynamic Networks </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Azamir,+B">Bouchaib Azamir</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Bennis,+D">Driss Bennis</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Michel,+B">Bertrand Michel</a></div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Physica A: Statistical Mechanics and its Applications, Available online 5 October 2022, 128224 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Combinatorics (math.CO); Statistics Theory (math.ST) </div> </div> </dd> <dt> <a name='item33'>[33]</a> <a href ="/abs/2210.09101" title="Abstract" id="2210.09101"> arXiv:2210.09101 </a> [<a href="/pdf/2210.09101" title="Download PDF" id="pdf-2210.09101" aria-labelledby="pdf-2210.09101">pdf</a>, <a href="/format/2210.09101" title="Other formats" id="oth-2210.09101" aria-labelledby="oth-2210.09101">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Some results about Colored Tverberg Theorem </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Poncio,+C+H+F">Carlos H. F. Poncio</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Santos,+E+L+d">Edivaldo Lopes dos Santos</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Mauri,+L+V">Leandro Vicente Mauri</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=de+Mattos,+D">Denise de Mattos</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> arXiv admin note: substantial text overlap with <a href="https://arxiv.org/abs/2210.07804" data-arxiv-id="2210.07804" class="link-https">arXiv:2210.07804</a> </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item34'>[34]</a> <a href ="/abs/2210.10096" title="Abstract" id="2210.10096"> arXiv:2210.10096 </a> [<a href="/pdf/2210.10096" title="Download PDF" id="pdf-2210.10096" aria-labelledby="pdf-2210.10096">pdf</a>, <a href="/format/2210.10096" title="Other formats" id="oth-2210.10096" aria-labelledby="oth-2210.10096">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> An algebraic model for the free loop space </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Rivera,+M">Manuel Rivera</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Reformatted references. Added a missing flatness hypothesis in definition 2 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Quantum Algebra (math.QA) </div> </div> </dd> <dt> <a name='item35'>[35]</a> <a href ="/abs/2210.10131" title="Abstract" id="2210.10131"> arXiv:2210.10131 </a> [<a href="/pdf/2210.10131" title="Download PDF" id="pdf-2210.10131" aria-labelledby="pdf-2210.10131">pdf</a>, <a href="/format/2210.10131" title="Other formats" id="oth-2210.10131" aria-labelledby="oth-2210.10131">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Symmetric Homology is Representation Homology </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Berest,+Y">Yuri Berest</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ramadoss,+A+C">Ajay C. Ramadoss</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 16 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; K-Theory and Homology (math.KT); Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item36'>[36]</a> <a href ="/abs/2210.10497" title="Abstract" id="2210.10497"> arXiv:2210.10497 </a> [<a href="/pdf/2210.10497" title="Download PDF" id="pdf-2210.10497" aria-labelledby="pdf-2210.10497">pdf</a>, <a href="/format/2210.10497" title="Other formats" id="oth-2210.10497" aria-labelledby="oth-2210.10497">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A double coset formula for the genus of a nilpotent group </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ronan,+A">A. Ronan</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Group Theory (math.GR) </div> </div> </dd> <dt> <a name='item37'>[37]</a> <a href ="/abs/2210.10704" title="Abstract" id="2210.10704"> arXiv:2210.10704 </a> [<a href="/pdf/2210.10704" title="Download PDF" id="pdf-2210.10704" aria-labelledby="pdf-2210.10704">pdf</a>, <a href="/format/2210.10704" title="Other formats" id="oth-2210.10704" aria-labelledby="oth-2210.10704">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Benkhalifa,+M">Mahmoud Benkhalifa</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item38'>[38]</a> <a href ="/abs/2210.11043" title="Abstract" id="2210.11043"> arXiv:2210.11043 </a> [<a href="/pdf/2210.11043" title="Download PDF" id="pdf-2210.11043" aria-labelledby="pdf-2210.11043">pdf</a>, <a href="/format/2210.11043" title="Other formats" id="oth-2210.11043" aria-labelledby="oth-2210.11043">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces, 1 </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Khokhliuk,+O">Oleksandra Khokhliuk</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Maksymenko,+S">Sergiy Maksymenko</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 37 pages, 2 figures, the content is essentially reworked </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Journal of Homotopy and Related Structures, 18 (2023) 313-356 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Complex Variables (math.CV); Differential Geometry (math.DG); Dynamical Systems (math.DS); Geometric Topology (math.GT) </div> </div> </dd> <dt> <a name='item39'>[39]</a> <a href ="/abs/2210.11191" title="Abstract" id="2210.11191"> arXiv:2210.11191 </a> [<a href="/pdf/2210.11191" title="Download PDF" id="pdf-2210.11191" aria-labelledby="pdf-2210.11191">pdf</a>, <a href="/format/2210.11191" title="Other formats" id="oth-2210.11191" aria-labelledby="oth-2210.11191">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Culf maps and edgewise subdivision </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hackney,+P">Philip Hackney</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Kock,+J">Joachim Kock</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Appendix coauthored with Jan Steinebrunner. 53 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Category Theory (math.CT) </div> </div> </dd> <dt> <a name='item40'>[40]</a> <a href ="/abs/2210.11274" title="Abstract" id="2210.11274"> arXiv:2210.11274 </a> [<a href="/pdf/2210.11274" title="Download PDF" id="pdf-2210.11274" aria-labelledby="pdf-2210.11274">pdf</a>, <a href="/format/2210.11274" title="Other formats" id="oth-2210.11274" aria-labelledby="oth-2210.11274">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Grounded persistent path homology: a stable, topological descriptor for weighted digraphs </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Chaplin,+T">Thomas Chaplin</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Harrington,+H+A">Heather A. Harrington</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Tillmann,+U">Ulrike Tillmann</a></div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Foundations of Computational Mathematics (2024) </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item41'>[41]</a> <a href ="/abs/2210.11320" title="Abstract" id="2210.11320"> arXiv:2210.11320 </a> [<a href="/pdf/2210.11320" title="Download PDF" id="pdf-2210.11320" aria-labelledby="pdf-2210.11320">pdf</a>, <a href="/format/2210.11320" title="Other formats" id="oth-2210.11320" aria-labelledby="oth-2210.11320">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Replacing functors with enriched ones </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Blom,+T">Thomas Blom</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 41 pages. v2: Simplified proof of main result of section 5 and fixed some minor details. Comments welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Category Theory (math.CT) </div> </div> </dd> <dt> <a name='item42'>[42]</a> <a href ="/abs/2210.12567" title="Abstract" id="2210.12567"> arXiv:2210.12567 </a> [<a href="/pdf/2210.12567" title="Download PDF" id="pdf-2210.12567" aria-labelledby="pdf-2210.12567">pdf</a>, <a href="https://arxiv.org/html/2210.12567v2" title="View HTML" id="html-2210.12567" aria-labelledby="html-2210.12567" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2210.12567" title="Other formats" id="oth-2210.12567" aria-labelledby="oth-2210.12567">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A simply connected universal fibration with unique path lifting over a Peano continuum with non-simply connected universal covering space </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Brazas,+J">Jeremy Brazas</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Fischer,+H">Hanspeter Fischer</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 11 pages, 3 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item43'>[43]</a> <a href ="/abs/2210.12695" title="Abstract" id="2210.12695"> arXiv:2210.12695 </a> [<a href="/pdf/2210.12695" title="Download PDF" id="pdf-2210.12695" aria-labelledby="pdf-2210.12695">pdf</a>, <a href="/format/2210.12695" title="Other formats" id="oth-2210.12695" aria-labelledby="oth-2210.12695">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Equivariant cohomology and depth </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Bourgiuba,+D">Dorra Bourgiuba</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zarati,+S">Said Zarati</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 16 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span> </div> </div> </dd> <dt> <a name='item44'>[44]</a> <a href ="/abs/2210.12784" title="Abstract" id="2210.12784"> arXiv:2210.12784 </a> [<a href="/pdf/2210.12784" title="Download PDF" id="pdf-2210.12784" aria-labelledby="pdf-2210.12784">pdf</a>, <a href="https://arxiv.org/html/2210.12784v2" title="View HTML" id="html-2210.12784" aria-labelledby="html-2210.12784" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2210.12784" title="Other formats" id="oth-2210.12784" aria-labelledby="oth-2210.12784">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On the top-dimensional cohomology of arithmetic Chevalley groups </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Br%C3%BCck,+B">Benjamin Br眉ck</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Rego,+Y+S">Yuri Santos Rego</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=J.,+R">Robin J. Sroka</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 8 pages; v2: small changes according to referee's suggestions; to appear in Proc. Amer. Math. Soc </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Group Theory (math.GR); Number Theory (math.NT) </div> </div> </dd> <dt> <a name='item45'>[45]</a> <a href ="/abs/2210.12822" title="Abstract" id="2210.12822"> arXiv:2210.12822 </a> [<a href="/pdf/2210.12822" title="Download PDF" id="pdf-2210.12822" aria-labelledby="pdf-2210.12822">pdf</a>, <a href="/format/2210.12822" title="Other formats" id="oth-2210.12822" aria-labelledby="oth-2210.12822">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The Chromatic Fourier Transform </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Barthel,+T">Tobias Barthel</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Carmeli,+S">Shachar Carmeli</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Schlank,+T+M">Tomer M. Schlank</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Yanovski,+L">Lior Yanovski</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 105 pages. Comments are welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Category Theory (math.CT); Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item46'>[46]</a> <a href ="/abs/2210.12845" title="Abstract" id="2210.12845"> arXiv:2210.12845 </a> [<a href="/pdf/2210.12845" title="Download PDF" id="pdf-2210.12845" aria-labelledby="pdf-2210.12845">pdf</a>, <a href="/format/2210.12845" title="Other formats" id="oth-2210.12845" aria-labelledby="oth-2210.12845">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Pavlov,+D">Dmitri Pavlov</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 34 pages. Comments and questions are welcome. v2: Identical to the journal version except for formatting and style </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Homology, Homotopy, and Applications 26:2 (2024), 375-408 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Category Theory (math.CT); Differential Geometry (math.DG) </div> </div> </dd> <dt> <a name='item47'>[47]</a> <a href ="/abs/2210.12868" title="Abstract" id="2210.12868"> arXiv:2210.12868 </a> [<a href="/pdf/2210.12868" title="Download PDF" id="pdf-2210.12868" aria-labelledby="pdf-2210.12868">pdf</a>, <a href="https://arxiv.org/html/2210.12868v2" title="View HTML" id="html-2210.12868" aria-labelledby="html-2210.12868" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2210.12868" title="Other formats" id="oth-2210.12868" aria-labelledby="oth-2210.12868">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Bapat,+A">Asilata Bapat</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Brooks,+R">Robyn Brooks</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Hacker,+C">Celia Hacker</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Landi,+C">Claudia Landi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Mahler,+B+I">Barbara I. Mahler</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Stephenson,+E+R">Elizabeth R. Stephenson</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 28 pages, 6 figures. Comments welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Computational Geometry (cs.CG) </div> </div> </dd> <dt> <a name='item48'>[48]</a> <a href ="/abs/2210.13009" title="Abstract" id="2210.13009"> arXiv:2210.13009 </a> [<a href="/pdf/2210.13009" title="Download PDF" id="pdf-2210.13009" aria-labelledby="pdf-2210.13009">pdf</a>, <a href="/format/2210.13009" title="Other formats" id="oth-2210.13009" aria-labelledby="oth-2210.13009">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The Uniqueness Theorem for Gysin Coherent Characteristic Classes of Singular Spaces </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Banagl,+M">Markus Banagl</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wrazidlo,+D">Dominik Wrazidlo</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item49'>[49]</a> <a href ="/abs/2210.13259" title="Abstract" id="2210.13259"> arXiv:2210.13259 </a> [<a href="/pdf/2210.13259" title="Download PDF" id="pdf-2210.13259" aria-labelledby="pdf-2210.13259">pdf</a>, <a href="/format/2210.13259" title="Other formats" id="oth-2210.13259" aria-labelledby="oth-2210.13259">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Geometric Hodge filtered complex cobordism </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Haus,+K+B">Knut Bjarte Haus</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Quick,+G">Gereon Quick</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 46 pages, minor revision, v2 is the final version accepted for publication in Advances in Mathematics </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Complex Variables (math.CV); Differential Geometry (math.DG) </div> </div> </dd> <dt> <a name='item50'>[50]</a> <a href ="/abs/2210.13640" title="Abstract" id="2210.13640"> arXiv:2210.13640 </a> [<a href="/pdf/2210.13640" title="Download PDF" id="pdf-2210.13640" aria-labelledby="pdf-2210.13640">pdf</a>, <a href="/format/2210.13640" title="Other formats" id="oth-2210.13640" aria-labelledby="oth-2210.13640">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Lecture Notes on Modular Infinity Operads and Grothendieck-Teichmueller Theory </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Borghi,+O">Olivia Borghi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Robertson,+M">Marcy Robertson</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 31 pages, 21 figures, Higher Structures and Operadic Calculus workshop; typos corrected; references updated </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Category Theory (math.CT) </div> </div> </dd> </dl> <div class='paging'>Total of 98 entries : <span>1-50</span> <a href=/list/math.AT/2022-10?skip=50&show=50>51-98</a> </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.AT/2022-10?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <a href=/list/math.AT/2022-10?skip=0&show=2000 rel="nofollow"> all</a> </div> </div> </div> </div> </main> <footer style="clear: both;"> <div class="columns is-desktop" role="navigation" aria-label="Secondary" style="margin: -0.75em -0.75em 0.75em -0.75em"> <!-- Macro-Column 1 --> <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; line-height: 2;"> <li><a href="https://info.arxiv.org/about">About</a></li> <li><a href="https://info.arxiv.org/help">Help</a></li> </ul> </div> <div class="column"> <ul style="list-style: none; line-height: 2;"> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>contact arXiv</title><desc>Click here to contact arXiv</desc><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg> <a href="https://info.arxiv.org/help/contact.html"> Contact</a> </li> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>subscribe to arXiv mailings</title><desc>Click here to subscribe</desc><path d="M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z"/></svg> <a href="https://info.arxiv.org/help/subscribe"> Subscribe</a> </li> </ul> </div> </div> </div> <!-- End Macro-Column 1 --> <!-- Macro-Column 2 --> <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; 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