ENGLISH

Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners

By Thomas Kerler , Volodymyr V. Lyubashenko

Book information

Publisher
Springer
Year
2001
ISBN
3540424164, 9783540424161
Language
english
Format
PDF
Filesize
24 MB (24728124 bytes)
Series
Lecture Notes in Mathematics
Edition
1
Pages
385\385
Orientation
yes
Scanned
yes
Time added
2011-06-04 13:46:07

Description

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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