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Article Dans Une Revue Algebraic and Geometric Topology Année : 2019

A note on the $(\infty,n)$-category of cobordisms

Résumé

In this note we give a precise definition of fully extended topological field theories à la Lurie. Using complete n-fold Segal spaces as a model, we construct an $(\infty,n)$-category of $n$-dimensional cobordisms, possibly with tangential structure. We endow it with a symmetric monoidal structure and show that we can recover the usual category of cobordisms and the cobordism bicategory from it.

Dates et versions

hal-01207131 , version 1 (30-09-2015)

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Citer

Damien Calaque, Claudia Scheimbauer. A note on the $(\infty,n)$-category of cobordisms. Algebraic and Geometric Topology, 2019, 19, pp.533-655. ⟨10.2140/agt.2019.19.533⟩. ⟨hal-01207131⟩
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