Name: non-semisimple topological quantum field theories for 3-manifolds with corners
Price: 123.91 NZD
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Author: kerler,lyubashenko
ISBN: 9783540424161

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portada non-semisimple topological quantum field theories for 3-manifolds with corners

non-semisimple topological quantum field theories for 3-manifolds with corners

Type

Physical Book

Publisher

Springer

Author

kerler,lyubashenko

Language

English

Pages

379

ISBN

3540424164

ISBN13

9783540424161

Synopsis "non-semisimple topological quantum field theories for 3-manifolds with corners"

this book presents the (to date) most general approach to combinatorial constructions of topological quantum field theories (tqfts) in three dimensions. the authors describe extended tqfts as double functors between two naturally defined double categories: one of topological nature, made of 3-manifolds with corners, the other of algebraic nature, made of linear categories, functors, vector spaces and maps. atiyahs conventional notion of tqfts as well as the notion of modular functor from axiomatic conformal field theory are unified in this concept. a large class of such extended modular catergory is constructed, assigning a double functor to every abelian modular category, which does not have to be semisimple.