Geodesic
Localisations of cobordism categories and invertible TFTs in dimension two
Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 195-225.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2013.v15.n2.a13
Classification : 18D10, 57R56, 81T45
Keywords: topological quantum field theory, non-orientable surface, pointed monoidal category 
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     title = {Localisations of cobordism categories and invertible {TFTs} in dimension two},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a13/}
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R. Juer; U. Tillmann. Localisations of cobordism categories and invertible TFTs in dimension two. Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 195-225. doi : 10.4310/HHA.2013.v15.n2.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a13/

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