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Jim Stasheff in nLab
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It does not yet have a dedicated thread; feel free to create one, giving it the same name as the title of this page" style="color:black">Discuss this page</a> | <a href="/nlab/author/Jim+Stasheff" style="color: black" title="Overview of nLab pages which Jim Stasheff has edited">Pages contributed to</a> <form accept-charset="utf-8" action="/nlab/search" id="navigationSearchForm" method="get"> <fieldset class="search"><input type="text" id="searchField" name="query" value="Search" style="display:inline-block; float: left;" onfocus="this.value == 'Search' ? this.value = '' : true" onblur="this.value == '' ? this.value = 'Search' : true" /></fieldset> </form> <span id='navEnd'></span> </div> <div id="revision"> <html xmlns="http://www.w3.org/1999/xhtml" xmlns:svg="http://www.w3.org/2000/svg" xml:lang="en" lang="en"> <head><meta http-equiv="Content-type" content="application/xhtml+xml;charset=utf-8" /><title></title></head> <body> <ul> <li> <p><a href="https://www2.math.upenn.edu/~jds/">Jim Stasheff’s home page</a></p> </li> <li> <p>interview by <a class="existingWikiWord" href="/nlab/show/Kathryn+Hess">Kathryn Hess</a>: <a href="https://www.youtube.com /watch?v=K8kPS6FZBoc&feature=youtu.be">video</a></p> </li> <li> <p>John McCleary, <em>An appreciation of the work of Jim Stasheff</em> (<a href="http://www.math.unc.edu/Faculty/jds/jds.pdf">pdf</a>)</p> </li> </ul> <h2 id="selected_writings">Selected writings</h2> <p>On <a class="existingWikiWord" href="/nlab/show/An-spaces"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"> <semantics> <mrow> <msub><mi>A</mi> <mi>n</mi></msub> </mrow> <annotation encoding="application/x-tex">A_n</annotation> </semantics> </math>-spaces</a> and <a class="existingWikiWord" href="/nlab/show/A-%E2%88%9E+algebras">A-∞ algebras</a>:</p> <ul> <li id="Stasheff63a"> <p><a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em>Homotopy associativity of H-spaces I</em>, Trans. Amer. Math. Soc. <strong>108</strong> 2 (1963) 275-292 [<a href="https://doi.org/10.2307/1993608">doi:10.2307/1993608</a>]</p> </li> <li id="Stasheff63b"> <p><a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em>Homotopy associativity of H-spaces II</em> <strong>108</strong> 2 (1963) 293-312 [<a href="https://doi.org/10.2307/1993609">doi:10.2307/1993609</a>, <a href="https://doi.org/10.1090/S0002-9947-1963-0158400-5">doi:10.1090/S0002-9947-1963-0158400-5</a>]</p> </li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/characteristic+classes">characteristic classes</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/John+Milnor">John Milnor</a>, <a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em>Characteristic classes</em>, Princeton Univ. Press (1974) (<a href="https://press.princeton.edu/books/paperback/9780691081229/characteristic-classes-am-76-volume-76">ISBN:9780691081229</a>, <a href="https://doi.org/10.1515/9781400881826">doi:10.1515/9781400881826</a>, <a href="https://www.maths.ed.ac.uk/~v1ranick/papers/milnstas.pdf">pdf</a>)</li> </ul> <p>On the <a class="existingWikiWord" href="/nlab/show/simplicial+de+Rham+complex">simplicial de Rham complex</a> and <a class="existingWikiWord" href="/nlab/show/equivariant+de+Rham+cohomology">equivariant de Rham cohomology</a>:</p> <ul> <li id="BottShulmanStasheff76"><a class="existingWikiWord" href="/nlab/show/Raoul+Bott">Raoul Bott</a>, <a class="existingWikiWord" href="/nlab/show/Herbert+Shulman">Herbert Shulman</a>, <a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em>On the de Rham theory of certain classifying spaces</em>, Advances in Mathematics, Volume 20, Issue 1, April 1976, Pages 43-56 (<a href="https://doi.org/10.1016/0001-8708(76)90169-9">doi:10.1016/0001-8708(76)90169-9</a>, <a href="https://core.ac.uk/download/pdf/82496263.pdf">pdf</a>)</li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/dg-Lie+algebras">dg-Lie algebras</a> and <a class="existingWikiWord" href="/nlab/show/L-%E2%88%9E+algebras">L-∞ algebras</a>:</p> <ul> <li id="Stasheff92"> <p><a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em>Differential graded Lie algebras, quasi-Hopf algebras and higher homotopy algebras</em>, in <em>Quantum groups</em> Number 1510 in Lecture Notes in Math. Springer, Berlin, 1992</p> </li> <li id="LadaStasheff92"> <p><a class="existingWikiWord" href="/nlab/show/Tom+Lada">Tom Lada</a>, <a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em>Introduction to sh Lie algebras for physicists</em>, Int. J. Theo. Phys. 32 (1993), 1087–1103. (<a href="http://arxiv.org/abs/hep-th/9209099">arXiv:hep-th/9209099</a>)</p> </li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/connections+on+principal+%E2%88%9E-bundles">connections on principal ∞-bundles</a>:</p> <ul> <li> <p><a class="existingWikiWord" href="/nlab/show/Hisham+Sati">Hisham Sati</a>, <a class="existingWikiWord" href="/nlab/show/Urs+Schreiber">Urs Schreiber</a>, <a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em><a class="existingWikiWord" href="/schreiber/show/L-infinity+algebra+connections">L-∞ algebra connections and applications to String- and Chern-Simons n-transport</a></em>, in: <em>Quantum Field Theory</em>, Birkhäuser (2009) 303-424 (<a href="http://arxiv.org/abs/0801.3480">arXiv:0801.3480</a>, <a href="https://doi.org/10.1007/978-3-7643-8736-5_17">doi:10.1007/978-3-7643-8736-5_17</a>)</p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/Domenico+Fiorenza">Domenico Fiorenza</a>, <a class="existingWikiWord" href="/nlab/show/Urs+Schreiber">Urs Schreiber</a>, <a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em><a class="existingWikiWord" href="/schreiber/show/Cech+cocycles+for+differential+characteristic+classes">Cech cocycles for differential characteristic classes</a> – An <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mn>∞</mn></mrow><annotation encoding="application/x-tex">\infty</annotation></semantics></math>-Lie theoretic construction</em>, Advances in Theoretical and Mathematical Physics, Volume 16 Issue 1 (2012), pages 149-250 (<a href="http://arxiv.org/abs/1011.4735">arXiv:1011.4735</a>, <a href="http://projecteuclid.org/euclid.atmp/1358950853">euclid:atmp/1358950853</a>)</p> </li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/differential+string+structures">differential string structures</a>:</p> <ul> <li id="SSSIII"><a class="existingWikiWord" href="/nlab/show/Hisham+Sati">Hisham Sati</a>, <a class="existingWikiWord" href="/nlab/show/Urs+Schreiber">Urs Schreiber</a>, <a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em><a class="existingWikiWord" href="/schreiber/show/Twisted+Differential+String+and+Fivebrane+Structures">Twisted Differential String and Fivebrane Structures</a></em>, Communications in Mathematical Physics, October 2012, Volume 315, Issue 1, pp 169-213 (<a href="http://arxiv.org/abs/0910.4001">arXiv:0910.4001</a>, <a href="https://link.springer.com/article/10.1007/s00220-012-1510-3">doi:10.1007/s00220-012-1510-3</a>)</li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/homotopy+theory">homotopy theory</a> in <a class="existingWikiWord" href="/nlab/show/physics">physics</a>:</p> <ul> <li>Jim Stasheff, <em><a class="existingWikiWord" href="/nlab/show/A+Survey+of+Cohomological+Physics">A Survey of Cohomological Physics</a></em></li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/recognition+of+relative+loop+spaces">recognition of relative loop spaces</a>:</p> <ul> <li id="HLS16"><a class="existingWikiWord" href="/nlab/show/Eduardo+Hoefel">Eduardo Hoefel</a>, <a class="existingWikiWord" href="/nlab/show/Muriel+Livernet">Muriel Livernet</a>, <a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msub><mi>A</mi> <mn>∞</mn></msub></mrow><annotation encoding="application/x-tex">A_\infty</annotation></semantics></math>-actions and recognition of relative loop spaces</em>, Topology and its Applications <strong>206</strong> (2016) 126-147 [<a href="https://arxiv.org/abs/1312.7155">arXiv:1312.7155</a>, <a href="https://doi.org/10.1016/j.topol.2016.03.023">doi:10.1016/j.topol.2016.03.023</a>]</li> </ul> <p>A proposal for understanding <a class="existingWikiWord" href="/nlab/show/tensor+hierarchies">tensor hierarchies</a> as <a class="existingWikiWord" href="/nlab/show/L-infinity+algebra">L-infinity algebra</a>-refinenents of <a class="existingWikiWord" href="/nlab/show/Leibniz+algebras">Leibniz algebras</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Sylvain+Lavau">Sylvain Lavau</a>, <a class="existingWikiWord" href="/nlab/show/Jim+Stasheff">Jim Stasheff</a>, <em><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msub><mi>L</mi> <mn>∞</mn></msub></mrow><annotation encoding="application/x-tex">L_\infty</annotation></semantics></math>-algebra extensions of Leibniz algebras</em> (<a href="https://arxiv.org/abs/2003.07838">arXiv:2003.07838</a>)</li> </ul> <h1 id="related_lab_entries">Related <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>n</mi></mrow><annotation encoding="application/x-tex">n</annotation></semantics></math>Lab entries</h1> <ul> <li> <p><a class="existingWikiWord" href="/nlab/show/associahedron">associahedron</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/A-infinity-operad">A-infinity-operad</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/A-infinity-category">A-infinity-category</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/H-space">H-space</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/L-infinity+algebra">L-infinity algebra</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/simplicial+de+Rham+complex">simplicial de Rham complex</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/string+field+theory">string field theory</a></p> </li> </ul> <div class="property">category: <a class="category_link" href="/nlab/all_pages/people">people</a></div></body></html> </div> <div class="revisedby"> <p> Last revised on March 28, 2023 at 15:55:30. 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