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A
note on the $(\infty,n)$–category of cobordisms
Damien Calaque and Claudia Scheimbauer |
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Algebraic & Geometric Topology 19 (2019) 533–655
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Abstract |
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In this extended note we give a precise definition of fully extended topological field theories à la Lurie. Using complete –fold Segal spaces as a model, we construct an –category of –dimensional bordisms, possibly with tangential structure. We endow it with a symmetric monoidal structure and show that we can recover the usual category of bordisms. |
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Keywords
cobordisms, extended topological field theories, higher
categories
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Mathematical Subject Classification 2010
Primary: 18D05, 57R56
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References |
Publication
Received: 20 September 2016
Revised: 9 April 2018
Accepted: 26 April 2018
Published: 12 March 2019
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Authors |
| Damien Calaque | |
| IMAG Univ Montpellier, CNRS Institut Universitaire de France Montpellier France |
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| Claudia Scheimbauer | |
| Mathematical Institute University of Oxford Oxford United Kingdom |
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