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
Resource Information
The item Non-semisimple topological quantum field theories for 3-manifolds with corners, Thomas Kerler, Volodymyr V. Lyubashenko represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Non-semisimple topological quantum field theories for 3-manifolds with corners, Thomas Kerler, Volodymyr V. Lyubashenko represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (vi, 379 pages)
- 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
- Isbn
- 9783540446255
- 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
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Non-semisimple-topological-quantum-field-theories/xMYcCg-9iGI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Non-semisimple-topological-quantum-field-theories/xMYcCg-9iGI/">Non-semisimple topological quantum field theories for 3-manifolds with corners, Thomas Kerler, Volodymyr V. Lyubashenko</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
