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arXiv · 1307.6886

Localisations of cobordism categories and invertible TFTs in dimension two

R. Juer·U. Tillmann
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Abstract

Cobordism categories have played an important role in classical geometry and more recently in mathematical treatments of quantum field theory. Here we will compute localisations of two-dimensional discrete cobordism categories. This allows us, up to equivalence, to determine the category of invertible two-dimensional topological field theories in the sense of Atiyah. We are able to treat the orientable, non-orientable, closed and open cases.

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R. Juer, U. Tillmann. 2013-07-25. Localisations of cobordism categories and invertible TFTs in dimension two. https://arxiv.org/abs/1307.6886

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