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Algebraic Topology
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</a> </li><li> <a href="/list/math.AT/recent?skip=27&show=50"> Fri, 14 Mar 2025 </a> </li></ul> <p>See today's <a id="new-math.AT" aria-labelledby="new-math.AT" href="/list/math.AT/new">new</a> changes</p> <div class='paging'>Total of 32 entries </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.AT/recent?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <span style="color: #454545">all</span> </div> <dl id='articles'> <h3>Thu, 20 Mar 2025 (showing 8 of 8 entries )</h3> <dt> <a name='item1'>[1]</a> <a href ="/abs/2503.15253" title="Abstract" id="2503.15253"> arXiv:2503.15253 </a> [<a href="/pdf/2503.15253" title="Download PDF" id="pdf-2503.15253" aria-labelledby="pdf-2503.15253">pdf</a>, <a href="https://arxiv.org/html/2503.15253v1" title="View HTML" id="html-2503.15253" aria-labelledby="html-2503.15253" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15253" title="Other formats" id="oth-2503.15253" aria-labelledby="oth-2503.15253">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Log homotopy types are homotopy types with modulus </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kelly,+S">Shane Kelly</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 15 pages </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='item2'>[2]</a> <a href ="/abs/2503.15179" title="Abstract" id="2503.15179"> arXiv:2503.15179 </a> [<a href="/pdf/2503.15179" title="Download PDF" id="pdf-2503.15179" aria-labelledby="pdf-2503.15179">pdf</a>, <a href="https://arxiv.org/html/2503.15179v1" title="View HTML" id="html-2503.15179" aria-labelledby="html-2503.15179" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15179" title="Other formats" id="oth-2503.15179" aria-labelledby="oth-2503.15179">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The fibration sequences of the lattice path operad </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=De+Leger,+F">Florian De Leger</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='item3'>[3]</a> <a href ="/abs/2503.14865" title="Abstract" id="2503.14865"> arXiv:2503.14865 </a> [<a href="/pdf/2503.14865" title="Download PDF" id="pdf-2503.14865" aria-labelledby="pdf-2503.14865">pdf</a>, <a href="/format/2503.14865" title="Other formats" id="oth-2503.14865" aria-labelledby="oth-2503.14865">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Brown functors of directed graphs </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Liao,+H">Hsuan-Yi Liao</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=McGuirk,+Z">Zachary McGuirk</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Nguyen,+D+K">Dang Khoa Nguyen</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Park,+B">Byungdo Park</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 27 pages, 4 figures. arXiv admin note: significant text overlap with a part of <a href="https://arxiv.org/abs/2003.07426" data-arxiv-id="2003.07426" class="link-https">arXiv:2003.07426</a> </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Combinatorics (math.CO); Category Theory (math.CT) </div> </div> </dd> <dt> <a name='item4'>[4]</a> <a href ="/abs/2503.14659" title="Abstract" id="2503.14659"> arXiv:2503.14659 </a> [<a href="/pdf/2503.14659" title="Download PDF" id="pdf-2503.14659" aria-labelledby="pdf-2503.14659">pdf</a>, <a href="https://arxiv.org/html/2503.14659v1" title="View HTML" id="html-2503.14659" aria-labelledby="html-2503.14659" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14659" title="Other formats" id="oth-2503.14659" aria-labelledby="oth-2503.14659">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Thomason cohomology and Quillen's Theorem A </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kirtisoglu,+M">Mehmet Kirtisoglu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Yalcin,+E">Ergun Yalcin</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>; Category Theory (math.CT) </div> </div> </dd> <dt> <a name='item5'>[5]</a> <a href ="/abs/2503.15431" title="Abstract" id="2503.15431"> arXiv:2503.15431 </a> (cross-list from math.LO) [<a href="/pdf/2503.15431" title="Download PDF" id="pdf-2503.15431" aria-labelledby="pdf-2503.15431">pdf</a>, <a href="https://arxiv.org/html/2503.15431v1" title="View HTML" id="html-2503.15431" aria-labelledby="html-2503.15431" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15431" title="Other formats" id="oth-2503.15431" aria-labelledby="oth-2503.15431">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A biequivalence of path categories and axiomatic Martin-L枚f type theories </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Otten,+D">Dani毛l Otten</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Spadetto,+M">Matteo Spadetto</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 32 pages, comments welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Logic (math.LO)</span>; Logic in Computer Science (cs.LO); Algebraic Topology (math.AT); Category Theory (math.CT) </div> </div> </dd> <dt> <a name='item6'>[6]</a> <a href ="/abs/2503.15274" title="Abstract" id="2503.15274"> arXiv:2503.15274 </a> (cross-list from math.CT) [<a href="/pdf/2503.15274" title="Download PDF" id="pdf-2503.15274" aria-labelledby="pdf-2503.15274">pdf</a>, <a href="https://arxiv.org/html/2503.15274v1" title="View HTML" id="html-2503.15274" aria-labelledby="html-2503.15274" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15274" title="Other formats" id="oth-2503.15274" aria-labelledby="oth-2503.15274">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Patch-density in tensor-triangular geometry </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Balmer,+P">Paul Balmer</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Gallauer,+M">Martin Gallauer</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 11 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Category Theory (math.CT)</span>; Algebraic Topology (math.AT); Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item7'>[7]</a> <a href ="/abs/2503.15103" title="Abstract" id="2503.15103"> arXiv:2503.15103 </a> (cross-list from math.GT) [<a href="/pdf/2503.15103" title="Download PDF" id="pdf-2503.15103" aria-labelledby="pdf-2503.15103">pdf</a>, <a href="https://arxiv.org/html/2503.15103v1" title="View HTML" id="html-2503.15103" aria-labelledby="html-2503.15103" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15103" title="Other formats" id="oth-2503.15103" aria-labelledby="oth-2503.15103">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Data Driven Perspectives on Knot Theory </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Dlotko,+P">Pawel Dlotko</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Gurnari,+D">Davide Gurnari</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sazdanovic,+R">Radmila Sazdanovic</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Geometric Topology (math.GT)</span>; Algebraic Topology (math.AT) </div> </div> </dd> <dt> <a name='item8'>[8]</a> <a href ="/abs/2503.14769" title="Abstract" id="2503.14769"> arXiv:2503.14769 </a> (cross-list from math.CT) [<a href="/pdf/2503.14769" title="Download PDF" id="pdf-2503.14769" aria-labelledby="pdf-2503.14769">pdf</a>, <a href="https://arxiv.org/html/2503.14769v1" title="View HTML" id="html-2503.14769" aria-labelledby="html-2503.14769" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14769" title="Other formats" id="oth-2503.14769" aria-labelledby="oth-2503.14769">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Dynkin Systems and the One-Point Geometry </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Beardsley,+J">Jonathan Beardsley</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 19 pages, opacity in tikz diagrams does not compile correctly on arXiv </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Category Theory (math.CT)</span>; Algebraic Topology (math.AT); Combinatorics (math.CO); Probability (math.PR) </div> </div> </dd> </dl> <dl id='articles'> <h3>Wed, 19 Mar 2025 (showing 7 of 7 entries )</h3> <dt> <a name='item9'>[9]</a> <a href ="/abs/2503.14349" title="Abstract" id="2503.14349"> arXiv:2503.14349 </a> [<a href="/pdf/2503.14349" title="Download PDF" id="pdf-2503.14349" aria-labelledby="pdf-2503.14349">pdf</a>, <a href="https://arxiv.org/html/2503.14349v1" title="View HTML" id="html-2503.14349" aria-labelledby="html-2503.14349" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14349" title="Other formats" id="oth-2503.14349" aria-labelledby="oth-2503.14349">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Steenrod closed $C_3$-invariant parameter ideals in the mod 2 cohomology of $\mathbb{Z}/2\times\mathbb{Z}/2$ </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=R%C3%BCping,+H">Henrik R眉ping</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Stephan,+M">Marc Stephan</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 11 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='item10'>[10]</a> <a href ="/abs/2503.14039" title="Abstract" id="2503.14039"> arXiv:2503.14039 </a> [<a href="/pdf/2503.14039" title="Download PDF" id="pdf-2503.14039" aria-labelledby="pdf-2503.14039">pdf</a>, <a href="https://arxiv.org/html/2503.14039v1" title="View HTML" id="html-2503.14039" aria-labelledby="html-2503.14039" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14039" title="Other formats" id="oth-2503.14039" aria-labelledby="oth-2503.14039">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Dold indices and symmetric powers </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Crabb,+M+C">M. C. Crabb</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='item11'>[11]</a> <a href ="/abs/2503.14019" title="Abstract" id="2503.14019"> arXiv:2503.14019 </a> [<a href="/pdf/2503.14019" title="Download PDF" id="pdf-2503.14019" aria-labelledby="pdf-2503.14019">pdf</a>, <a href="https://arxiv.org/html/2503.14019v1" title="View HTML" id="html-2503.14019" aria-labelledby="html-2503.14019" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14019" title="Other formats" id="oth-2503.14019" aria-labelledby="oth-2503.14019">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Monoidal Rips: Stable Multiparameter Filtrations of Directed Networks </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Blaser,+N">Nello Blaser</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Brun,+M">Morten Brun</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Gardaa,+O+H">Odin Hoff Gardaa</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Salbu,+L+M">Lars M. Salbu</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 29 pages, 2 figures </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='item12'>[12]</a> <a href ="/abs/2503.13748" title="Abstract" id="2503.13748"> arXiv:2503.13748 </a> [<a href="/pdf/2503.13748" title="Download PDF" id="pdf-2503.13748" aria-labelledby="pdf-2503.13748">pdf</a>, <a href="https://arxiv.org/html/2503.13748v1" title="View HTML" id="html-2503.13748" aria-labelledby="html-2503.13748" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13748" title="Other formats" id="oth-2503.13748" aria-labelledby="oth-2503.13748">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The groups $Sp(4n+1)$ and $Spin(8n-2)$ as framed manifolds </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Minami,+H">Haruo Minami</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 14 pages; is based on the method previously applied to $SU(2n)$ </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/2503.14420" title="Abstract" id="2503.14420"> arXiv:2503.14420 </a> (cross-list from math.AG) [<a href="/pdf/2503.14420" title="Download PDF" id="pdf-2503.14420" aria-labelledby="pdf-2503.14420">pdf</a>, <a href="https://arxiv.org/html/2503.14420v1" title="View HTML" id="html-2503.14420" aria-labelledby="html-2503.14420" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14420" title="Other formats" id="oth-2503.14420" aria-labelledby="oth-2503.14420">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Quadratic Donaldson-Thomas invariants for $(\mathbb{P}^1)^3$ and some other smooth proper toric threefolds </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Levine,+M">Marc Levine</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Viergever,+A+M">Anna M. Viergever</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Geometry (math.AG)</span>; Algebraic Topology (math.AT) </div> </div> </dd> <dt> <a name='item14'>[14]</a> <a href ="/abs/2503.13700" title="Abstract" id="2503.13700"> arXiv:2503.13700 </a> (cross-list from math.AG) [<a href="/pdf/2503.13700" title="Download PDF" id="pdf-2503.13700" aria-labelledby="pdf-2503.13700">pdf</a>, <a href="/format/2503.13700" title="Other formats" id="oth-2503.13700" aria-labelledby="oth-2503.13700">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Hochschild cohomology and extensions of triangulated categories </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Lehmann,+A">Alessandro Lehmann</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Lowen,+W">Wendy Lowen</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 33 pages, no figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Geometry (math.AG)</span>; Algebraic Topology (math.AT); Category Theory (math.CT); K-Theory and Homology (math.KT) </div> </div> </dd> <dt> <a name='item15'>[15]</a> <a href ="/abs/2503.13663" title="Abstract" id="2503.13663"> arXiv:2503.13663 </a> (cross-list from math.CT) [<a href="/pdf/2503.13663" title="Download PDF" id="pdf-2503.13663" aria-labelledby="pdf-2503.13663">pdf</a>, <a href="https://arxiv.org/html/2503.13663v1" title="View HTML" id="html-2503.13663" aria-labelledby="html-2503.13663" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13663" title="Other formats" id="oth-2503.13663" aria-labelledby="oth-2503.13663">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A convenient category of cubes </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Krishnan,+S">Sanjeevi Krishnan</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Rudman,+E">Emily Rudman</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 31pp </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Category Theory (math.CT)</span>; Algebraic Topology (math.AT); Geometric Topology (math.GT) </div> </div> </dd> </dl> <dl id='articles'> <h3>Tue, 18 Mar 2025 (showing 7 of 7 entries )</h3> <dt> <a name='item16'>[16]</a> <a href ="/abs/2503.12134" title="Abstract" id="2503.12134"> arXiv:2503.12134 </a> [<a href="/pdf/2503.12134" title="Download PDF" id="pdf-2503.12134" aria-labelledby="pdf-2503.12134">pdf</a>, <a href="https://arxiv.org/html/2503.12134v1" title="View HTML" id="html-2503.12134" aria-labelledby="html-2503.12134" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12134" title="Other formats" id="oth-2503.12134" aria-labelledby="oth-2503.12134">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Tate-valued Characteristic Classes </div> <div class='list-authors'><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=Luecke,+K">Kiran Luecke</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 25 pages, comments 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='item17'>[17]</a> <a href ="/abs/2503.11976" title="Abstract" id="2503.11976"> arXiv:2503.11976 </a> [<a href="/pdf/2503.11976" title="Download PDF" id="pdf-2503.11976" aria-labelledby="pdf-2503.11976">pdf</a>, <a href="/format/2503.11976" title="Other formats" id="oth-2503.11976" aria-labelledby="oth-2503.11976">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Torsion in Magnitude homology theories </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Martin,+P">Patrick Martin II</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sazdanovic,+R">Radmila Sazdanovic</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='item18'>[18]</a> <a href ="/abs/2503.11942" title="Abstract" id="2503.11942"> arXiv:2503.11942 </a> [<a href="/pdf/2503.11942" title="Download PDF" id="pdf-2503.11942" aria-labelledby="pdf-2503.11942">pdf</a>, <a href="https://arxiv.org/html/2503.11942v1" title="View HTML" id="html-2503.11942" aria-labelledby="html-2503.11942" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11942" title="Other formats" id="oth-2503.11942" aria-labelledby="oth-2503.11942">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The 茅tale sectional number is either 1 or infinity </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Zapata,+C+A+I">Cesar A. Ipanaque Zapata</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 8 pages. Comments are 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='item19'>[19]</a> <a href ="/abs/2503.11931" title="Abstract" id="2503.11931"> arXiv:2503.11931 </a> [<a href="/pdf/2503.11931" title="Download PDF" id="pdf-2503.11931" aria-labelledby="pdf-2503.11931">pdf</a>, <a href="https://arxiv.org/html/2503.11931v1" title="View HTML" id="html-2503.11931" aria-labelledby="html-2503.11931" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11931" title="Other formats" id="oth-2503.11931" aria-labelledby="oth-2503.11931">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Positive Scalar Curvature and crystallographic fundamental groups </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Barcenas,+N">Noe Barcenas</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Velasquez,+M">Mario Velasquez</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Differential Geometry (math.DG); Group Theory (math.GR) </div> </div> </dd> <dt> <a name='item20'>[20]</a> <a href ="/abs/2503.12618" title="Abstract" id="2503.12618"> arXiv:2503.12618 </a> (cross-list from math-ph) [<a href="/pdf/2503.12618" title="Download PDF" id="pdf-2503.12618" aria-labelledby="pdf-2503.12618">pdf</a>, <a href="/format/2503.12618" title="Other formats" id="oth-2503.12618" aria-labelledby="oth-2503.12618">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Stable homotopy theory of invertible gapped quantum spin systems I: Kitaev's $惟$-spectrum </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&query=Kubota,+Y">Yosuke Kubota</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 104 pages. Comments are welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Strongly Correlated Electrons (cond-mat.str-el); Algebraic Topology (math.AT); Operator Algebras (math.OA); Quantum Physics (quant-ph) </div> </div> </dd> <dt> <a name='item21'>[21]</a> <a href ="/abs/2503.12578" title="Abstract" id="2503.12578"> arXiv:2503.12578 </a> (cross-list from physics.soc-ph) [<a href="/pdf/2503.12578" title="Download PDF" id="pdf-2503.12578" aria-labelledby="pdf-2503.12578">pdf</a>, <a href="https://arxiv.org/html/2503.12578v1" title="View HTML" id="html-2503.12578" aria-labelledby="html-2503.12578" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12578" title="Other formats" id="oth-2503.12578" aria-labelledby="oth-2503.12578">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The topology of simple games </div> <div class='list-authors'><a href="https://arxiv.org/search/physics?searchtype=author&query=Volic,+I">Ismar Volic</a>, <a href="https://arxiv.org/search/physics?searchtype=author&query=Valentiner,+L">Leah Valentiner</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Physics and Society (physics.soc-ph)</span>; Algebraic Topology (math.AT); Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item22'>[22]</a> <a href ="/abs/2503.12060" title="Abstract" id="2503.12060"> arXiv:2503.12060 </a> (cross-list from math.AG) [<a href="/pdf/2503.12060" title="Download PDF" id="pdf-2503.12060" aria-labelledby="pdf-2503.12060">pdf</a>, <a href="https://arxiv.org/html/2503.12060v1" title="View HTML" id="html-2503.12060" aria-labelledby="html-2503.12060" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12060" title="Other formats" id="oth-2503.12060" aria-labelledby="oth-2503.12060">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Motivic stable stems and Galois approximations of cellular motivic categories </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Bachmann,+T">Tom Bachmann</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Burklund,+R">Robert Burklund</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Xu,+Z">Zhouli Xu</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 59 pages. Comments welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Geometry (math.AG)</span>; Algebraic Topology (math.AT); K-Theory and Homology (math.KT) </div> </div> </dd> </dl> <dl id='articles'> <h3>Mon, 17 Mar 2025 (showing 5 of 5 entries )</h3> <dt> <a name='item23'>[23]</a> <a href ="/abs/2503.11211" title="Abstract" id="2503.11211"> arXiv:2503.11211 </a> [<a href="/pdf/2503.11211" title="Download PDF" id="pdf-2503.11211" aria-labelledby="pdf-2503.11211">pdf</a>, <a href="/format/2503.11211" title="Other formats" id="oth-2503.11211" aria-labelledby="oth-2503.11211">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Revisiting Pontryagin's Proof of Stable Stems 1 and 2 </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Mondal,+T">Trishan Mondal</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 24 pages, 8 figures </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/2503.11338" title="Abstract" id="2503.11338"> arXiv:2503.11338 </a> (cross-list from math.KT) [<a href="/pdf/2503.11338" title="Download PDF" id="pdf-2503.11338" aria-labelledby="pdf-2503.11338">pdf</a>, <a href="https://arxiv.org/html/2503.11338v1" title="View HTML" id="html-2503.11338" aria-labelledby="html-2503.11338" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11338" title="Other formats" id="oth-2503.11338" aria-labelledby="oth-2503.11338">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Every motive is the motive of a stable $\infty$-category </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ramzi,+M">Maxime Ramzi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sosnilo,+V">Vladimir Sosnilo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Winges,+C">Christoph Winges</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 31 pages, comments welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">K-Theory and Homology (math.KT)</span>; Algebraic Topology (math.AT); Category Theory (math.CT) </div> </div> </dd> <dt> <a name='item25'>[25]</a> <a href ="/abs/2503.11222" title="Abstract" id="2503.11222"> arXiv:2503.11222 </a> (cross-list from math.CO) [<a href="/pdf/2503.11222" title="Download PDF" id="pdf-2503.11222" aria-labelledby="pdf-2503.11222">pdf</a>, <a href="https://arxiv.org/html/2503.11222v1" title="View HTML" id="html-2503.11222" aria-labelledby="html-2503.11222" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11222" title="Other formats" id="oth-2503.11222" aria-labelledby="oth-2503.11222">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Betti number estimates for non-negatively curved graphs </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hehl,+M">Moritz Hehl</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=M%C3%BCnch,+F">Florentin M眉nch</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 45 pages, 5 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Combinatorics (math.CO)</span>; Algebraic Topology (math.AT); Differential Geometry (math.DG) </div> </div> </dd> <dt> <a name='item26'>[26]</a> <a href ="/abs/2503.10963" title="Abstract" id="2503.10963"> arXiv:2503.10963 </a> (cross-list from math.CT) [<a href="/pdf/2503.10963" title="Download PDF" id="pdf-2503.10963" aria-labelledby="pdf-2503.10963">pdf</a>, <a href="/format/2503.10963" title="Other formats" id="oth-2503.10963" aria-labelledby="oth-2503.10963">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A study of Kock's fat Delta </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=de+Jong,+T">Tom de Jong</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Kraus,+N">Nicolai Kraus</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Paoli,+S">Simona Paoli</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Pradal,+S">Sti茅phen Pradal</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 34 pages. Comments are welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Category Theory (math.CT)</span>; Algebraic Topology (math.AT) </div> </div> </dd> <dt> <a name='item27'>[27]</a> <a href ="/abs/2503.10828" title="Abstract" id="2503.10828"> arXiv:2503.10828 </a> (cross-list from math.DS) [<a href="/pdf/2503.10828" title="Download PDF" id="pdf-2503.10828" aria-labelledby="pdf-2503.10828">pdf</a>, <a href="https://arxiv.org/html/2503.10828v1" title="View HTML" id="html-2503.10828" aria-labelledby="html-2503.10828" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.10828" title="Other formats" id="oth-2503.10828" aria-labelledby="oth-2503.10828">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Differential topology of the spaces of asymptotically stable vector fields and Lyapunov functions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kvalheim,+M+D">Matthew D. Kvalheim</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 32 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Dynamical Systems (math.DS)</span>; Algebraic Topology (math.AT); Geometric Topology (math.GT); Optimization and Control (math.OC) </div> </div> </dd> </dl> <dl id='articles'> <h3>Fri, 14 Mar 2025 (showing 5 of 5 entries )</h3> <dt> <a name='item28'>[28]</a> <a href ="/abs/2503.10507" title="Abstract" id="2503.10507"> arXiv:2503.10507 </a> [<a href="/pdf/2503.10507" title="Download PDF" id="pdf-2503.10507" aria-labelledby="pdf-2503.10507">pdf</a>, <a href="https://arxiv.org/html/2503.10507v1" title="View HTML" id="html-2503.10507" aria-labelledby="html-2503.10507" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.10507" title="Other formats" id="oth-2503.10507" aria-labelledby="oth-2503.10507">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Splitting the Madsen-Tillmann Spectra $MT胃_n$ </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Pedersen,+J+S">Jonathan Sejr Pedersen</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Senger,+A">Andrew Senger</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 13 pages, comments 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='item29'>[29]</a> <a href ="/abs/2503.10249" title="Abstract" id="2503.10249"> arXiv:2503.10249 </a> [<a href="/pdf/2503.10249" title="Download PDF" id="pdf-2503.10249" aria-labelledby="pdf-2503.10249">pdf</a>, <a href="https://arxiv.org/html/2503.10249v1" title="View HTML" id="html-2503.10249" aria-labelledby="html-2503.10249" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.10249" title="Other formats" id="oth-2503.10249" aria-labelledby="oth-2503.10249">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The equivariant covering homotopy property </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ronan,+A">Andrew Ronan</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 7 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='item30'>[30]</a> <a href ="/abs/2503.09928" title="Abstract" id="2503.09928"> arXiv:2503.09928 </a> (cross-list from math.AG) [<a href="/pdf/2503.09928" title="Download PDF" id="pdf-2503.09928" aria-labelledby="pdf-2503.09928">pdf</a>, <a href="/format/2503.09928" title="Other formats" id="oth-2503.09928" aria-labelledby="oth-2503.09928">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On filtered algebraic $K$-theory of stacks I: characteristic zero </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Elmanto,+E">Elden Elmanto</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Kubrak,+D">Dmitry Kubrak</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sosnilo,+V">Vladimir Sosnilo</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 75 pages, comments welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Geometry (math.AG)</span>; Algebraic Topology (math.AT); K-Theory and Homology (math.KT); Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item31'>[31]</a> <a href ="/abs/2503.09783" title="Abstract" id="2503.09783"> arXiv:2503.09783 </a> (cross-list from math.SG) [<a href="/pdf/2503.09783" title="Download PDF" id="pdf-2503.09783" aria-labelledby="pdf-2503.09783">pdf</a>, <a href="/format/2503.09783" title="Other formats" id="oth-2503.09783" aria-labelledby="oth-2503.09783">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On arborealization, Maslov data, and lack thereof </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Alvarez-Gavela,+D">Daniel Alvarez-Gavela</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Large,+T">Tim Large</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ward,+A">Abigail Ward</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 40 pages, 19 figures; comments welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Symplectic Geometry (math.SG)</span>; Algebraic Topology (math.AT) </div> </div> </dd> <dt> <a name='item32'>[32]</a> <a href ="/abs/2503.09767" title="Abstract" id="2503.09767"> arXiv:2503.09767 </a> (cross-list from cs.LG) [<a href="/pdf/2503.09767" title="Download PDF" id="pdf-2503.09767" aria-labelledby="pdf-2503.09767">pdf</a>, <a href="https://arxiv.org/html/2503.09767v1" title="View HTML" id="html-2503.09767" aria-labelledby="html-2503.09767" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.09767" title="Other formats" id="oth-2503.09767" aria-labelledby="oth-2503.09767">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Cover Learning for Large-Scale Topology Representation </div> <div class='list-authors'><a href="https://arxiv.org/search/cs?searchtype=author&query=Scoccola,+L">Luis Scoccola</a>, <a href="https://arxiv.org/search/cs?searchtype=author&query=Lim,+U">Uzu Lim</a>, <a href="https://arxiv.org/search/cs?searchtype=author&query=Harrington,+H+A">Heather A. Harrington</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 26 pages, 17 figures, 4 tables </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Machine Learning (cs.LG)</span>; Computational Geometry (cs.CG); Algebraic Topology (math.AT); Machine Learning (stat.ML) </div> </div> </dd> </dl> <div class='paging'>Total of 32 entries </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.AT/recent?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <span style="color: #454545">all</span> </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; 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