Monday, July 29, 2013

1307.6886 (R. Juer et al.)

Localisations of cobordism categories and invertible TFTs in dimension

R. Juer, U. Tillmann
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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