1307.6886 (R. Juer et al.)

Localisations of cobordism categories and invertible TFTs in dimension
two    [PDF]

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.

View original: http://arxiv.org/abs/1307.6886