Localisations of cobordism categories and invertible TFTs in dimension two

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 invertib...

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書目詳細資料
Main Authors: Juer, R, Tillmann, U
格式: Journal article
語言:English
出版: International Press 2013
主題:
實物特徵
總結: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.