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-manifo...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2001]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1765. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (vi, 379 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages [369]-375) and index. |
| ISBN: | 9783540446255 (electronic bk.) 3540446257 (electronic bk.) |
| ISSN: | 0075-8434 ; |