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Nonsemisimple Topological Quantum Field Theories For 3manifolds With Corners 1st Edition Thomas Kerler

Name: Nonsemisimple Topological Quantum Field Theories For 3manifolds With Corners 1st Edition Thomas Kerler
SKU: BELL-1815924
Price: 31.00 USD
Availability: InStock
Rating: 4 (66 reviews)

SKU: BELL-1815924

$ 31.00 ~~$ 45.00~~ (-31%)

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Nonsemisimple Topological Quantum Field Theories For 3manifolds With Corners 1st Edition Thomas Kerler instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 23.58 MB

Pages: 385

Author: Thomas Kerler, Volodymyr V. Lyubashenko

ISBN: 9783540424161, 3540424164

Language: English

Year: 2001

Edition: 1

Product desciption

Nonsemisimple Topological Quantum Field Theories For 3manifolds With Corners 1st Edition Thomas Kerler by Thomas Kerler, Volodymyr V. Lyubashenko 9783540424161, 3540424164 instant download after payment.

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.