A note on the (∞,n)-category of cobordisms

In this extended note we give a precise definition of fully extended topological field theories \`a la Lurie. Using complete n-fold Segal spaces as a model, we construct an (∞,n)-category of n-dimensional cobordisms, possibly with tangential structure. We endow it with a symmetric monoidal structure...

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Auteurs principaux: Calaque, D, Scheimbauer, C
Format: Journal article
Publié: Mathematical Sciences Publishers 2019