Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners (Paperback, 2001 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1765
Release date:	September 2001
First published:	2001
Authors:	Thomas Kerler • Volodymyr V. Lyubashenko
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Paperback
Pages:	383
Edition:	2001 ed.
ISBN-13:	978-3-540-42416-1
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-540-42416-4
Barcode:	9783540424161

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