{"id":26,"date":"2016-11-04T10:28:58","date_gmt":"2016-11-04T14:28:58","guid":{"rendered":"http:\/\/blogs.nd.edu\/chris-schommer-pries\/?page_id=26"},"modified":"2022-08-31T10:25:14","modified_gmt":"2022-08-31T14:25:14","slug":"papers","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/chris-schommer-pries\/papers\/","title":{"rendered":"Papers"},"content":{"rendered":"<h2>Publications<\/h2> <p><em>On the Unicity of the Homotopy Theory of Higher Categories<\/em>, Joint with Clark Barwick. Journal of the AMS, 34 (2021), no. 4, 1011-1058.<br \/> <a href=\"http:\/\/arxiv.org\/abs\/1112.0040\">arXiv:1112.0040<\/a><\/p> <p><em>Singular cohomology from supersymmetric field theories<\/em>, joint with Nathaniel Stapleton. Advances in Mathematics, 390 (2021), Paper No. 107944.<br \/> <a href=\"http:\/\/arxiv.org\/abs\/1403.1303\">arXiv:1403.1303<\/a><\/p> <p><em>Dualizable tensor categories<\/em>, joint with Christopher Douglas and Noah Snyder. Memoirs of the AMS, 268 (2020), no. 1308.<br \/> <a href=\"http:\/\/arxiv.org\/abs\/1312.7188\">arXiv:1312.7188<\/a><\/p> <p><em>The balanced tensor product of module categories<\/em>, joint with Christopher Douglas and Noah Snyder. Kyoto Journal of Mathematics, Vol 59, Number 1 (2019), 167-179<br \/> <a href=\"http:\/\/arxiv.org\/abs\/1406.4204\">arXiv:1406.4204<\/a><\/p> <p><em>Tori Detect Invertibility of Topological Field Theories<\/em>, Geometry &amp; Topology 22 (2018) 2713-2756.<br \/> <a href=\"http:\/\/arxiv.org\/abs\/1511.01772\">arXiv:1511.01772<\/a><\/p> <p><em>Dualizability in Low-Dimensional Higher Category Theory<\/em>, Topology and Field Theories, Contemp. Math. , vol. 613, Amer. Math. Soc., Providence, RI, 2014. <a href=\"http:\/\/arxiv.org\/abs\/1308.3574\">arXiv:1308.3574<\/a><\/p> <p><em>Central extensions of smooth 2\u2013groups and a finite-dimensional string 2\u2013group<\/em>, Geometry &amp; Topology 15 (2011) 609\u2013676.<br \/> <a href=\"http:\/\/arxiv.org\/abs\/0911.2483\">arXiv:0911.2483<\/a><\/p> <p>Ph.D. Dissertation. <em>The Classification of Two-Dimensional Extended Topological Field Theories<\/em>. (208 pages, 107 figures, with an index).<br \/> <a href=\"http:\/\/arxiv.org\/abs\/1112.1000\">arXiv:1112.1000<\/a> (<a href=\"https:\/\/sites.google.com\/site\/chrisschommerpriesmath\/Home\/The-Classification-of-Extened-2D-TQFTs.pdf\">more recent version, 7 Dec, 2011<\/a>)<\/p> <p><em>Examples of Cayley 4-Manifolds<\/em>, Joint with Weiqing Gu. Houston Journal of Mathematics 30 (2004), no. 1, 55&#8211;87.<\/p> <h2>Preprints<\/h2> <p>Semisimple Field Theories Detect Stable Diffeomorphism, joint with David Reutter. <a href=\"https:\/\/arxiv.org\/abs\/2206.10031\">arXiv:2206.10031<\/a><\/p> <p><em>Invertible Topological Field Theories.<\/em>\u00a0<a href=\"http:\/\/arxiv.org\/abs\/1712.08029\">arXiv:1712.08029<\/a><\/p> <p><em>Modular categories as representations of the 3-dimensional bordism 2- category<\/em>, joint with Bruce Bartlett, Christopher Douglas, and Jamie Vicary.<br \/> <a href=\"http:\/\/arxiv.org\/abs\/1509.06811\">arXiv:1509.06811<\/a><\/p> <p><em>Extended 3-dimensional bordism as the theory of modular objects<\/em>, joint with Bruce Bartlett, Christopher Douglas, and Jamie Vicary.<br \/> <a href=\"http:\/\/arxiv.org\/abs\/1411.0945\">arXiv:1411.0945<\/a><\/p> <h2>In preparation<\/h2> <p>Higher Categories via higher A-infinity Operads, joint with Nate Bottman an dViktoriya Ozornova.<\/p> <p>The Relative Tangle Hypothesis<\/p> <p><em>A finite presentation of the oriented 3-dimensional bordism bicategory<\/em>, joint with Bruce Bartlett, Christopher Douglas, and Jamie Vicary.<\/p> <p>Dualizable tensor categories II: Homotopy SO(3)-actions, joint with C. Douglas and N. Snyder.<\/p> <p><em>Twisted cohomology via twisted field theories<\/em>, joint with Stephan Stolz and Peter Teichner.<\/p> <p>On Waldhausen&#8217;s Splitting of A-theory.<\/p> <p><em>Coherence for symmetric monoidal bicategories<\/em><\/p> <p><em>Extensions of symmetric monoidal bicategories<\/em>, joint with Bruce Bartlett, Christopher Douglas, and Jamie Vicary.<\/p> ","protected":false},"excerpt":{"rendered":"<p>Publications On the Unicity of the Homotopy Theory of Higher Categories, Joint with Clark Barwick. Journal of the AMS, 34 (2021), no. 4, 1011-1058. arXiv:1112.0040 Singular cohomology from supersymmetric field theories, joint with Nathaniel Stapleton. Advances in Mathematics, 390 (2021), Paper No. 107944. arXiv:1403.1303 Dualizable tensor categories, joint with Christopher Douglas and Noah Snyder. Memoirs [&hellip;]<\/p>\n","protected":false},"author":2296,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-26","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/chris-schommer-pries\/wp-json\/wp\/v2\/pages\/26","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/chris-schommer-pries\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/chris-schommer-pries\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/chris-schommer-pries\/wp-json\/wp\/v2\/users\/2296"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/chris-schommer-pries\/wp-json\/wp\/v2\/comments?post=26"}],"version-history":[{"count":14,"href":"https:\/\/sites.nd.edu\/chris-schommer-pries\/wp-json\/wp\/v2\/pages\/26\/revisions"}],"predecessor-version":[{"id":153,"href":"https:\/\/sites.nd.edu\/chris-schommer-pries\/wp-json\/wp\/v2\/pages\/26\/revisions\/153"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/chris-schommer-pries\/wp-json\/wp\/v2\/media?parent=26"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}