Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners
Thomas Kerler, Volodymyr V. Lyubashenko
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. Atiyah's 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.
种类:
年:
2001
出版:
1
出版社:
Springer
语言:
english
页:
384
ISBN 10:
3540424164
ISBN 13:
9783540424161
系列:
Lecture Notes in Mathematics
文件:
DJVU, 3.32 MB
IPFS:
,
english, 2001
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