Localisations of cobordism categories and invertible TFTs in dimension two

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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Juer, R, Tillmann, U
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	International Press 2013
Pynciau:	Mathematics

Eitemau Tebyg

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Decomposition and dimension in module categories /
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gan: David Andriot, Nils Carqueville, Niccolò Cribiori
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Algebraic Cobordism [electronic resources]/
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Symmetry TFTs from string theory
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gan: Dima, G, et al.
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Spatial localisation and sensing in two dimensions via metasurfaces
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