Coverart for item
The Resource Non-semisimple topological quantum field theories for 3-manifolds with corners, Thomas Kerler, Volodymyr V. Lyubashenko

Non-semisimple topological quantum field theories for 3-manifolds with corners, Thomas Kerler, Volodymyr V. Lyubashenko

Label
Non-semisimple topological quantum field theories for 3-manifolds with corners
Title
Non-semisimple topological quantum field theories for 3-manifolds with corners
Statement of responsibility
Thomas Kerler, Volodymyr V. Lyubashenko
Creator
Contributor
Subject
Language
eng
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
Member of
Cataloging source
COO
http://library.link/vocab/creatorDate
1965-
http://library.link/vocab/creatorName
Kerler, Thomas
Dewey number
  • 510 s
  • 530.14/3
Illustrations
illustrations
Index
index present
Language note
English
LC call number
  • QA3
  • QC174.45
LC item number
.L28 no. 1765
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1959-
http://library.link/vocab/relatedWorkOrContributorName
Lyubashenko, Volodymyr V.
Series statement
Lecture notes in mathematics,
Series volume
1765
http://library.link/vocab/subjectName
  • Quantum field theory
  • Three-manifolds (Topology)
  • Mathematical physics
  • Mathematical physics
  • Quantum field theory
  • Three-manifolds (Topology)
Label
Non-semisimple topological quantum field theories for 3-manifolds with corners, Thomas Kerler, Volodymyr V. Lyubashenko
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 369-375) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction and summary of results -- The double category of framed, relative 3-cobordisms -- Tangle-categories and presentation of cobordisms -- Isomorphism between tangle and cobordism categories -- Monoidal categories and monoidal 2-categories -- Coends and construction of Hopf algebras -- Construction of TQFT-Double Functors -- Generalization of modular functor -- A: From quantum field theory of axiomatics -- B: Double categories and double functors -- C: Thick tangles
Control code
50031875
Dimensions
unknown
Extent
1 online resource (vi, 379 pages)
Form of item
online
Isbn
9783540446255
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b82618.
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)50031875
Label
Non-semisimple topological quantum field theories for 3-manifolds with corners, Thomas Kerler, Volodymyr V. Lyubashenko
Publication
Bibliography note
Includes bibliographical references (pages 369-375) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction and summary of results -- The double category of framed, relative 3-cobordisms -- Tangle-categories and presentation of cobordisms -- Isomorphism between tangle and cobordism categories -- Monoidal categories and monoidal 2-categories -- Coends and construction of Hopf algebras -- Construction of TQFT-Double Functors -- Generalization of modular functor -- A: From quantum field theory of axiomatics -- B: Double categories and double functors -- C: Thick tangles
Control code
50031875
Dimensions
unknown
Extent
1 online resource (vi, 379 pages)
Form of item
online
Isbn
9783540446255
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b82618.
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)50031875

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