Monoidal Categories and Topological Field Theory (Запис № 445228)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04091nam a22006135i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-49834-8 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20210118121609.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 170628s2017 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783319498348 |
| -- | 978-3-319-49834-8 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-319-49834-8 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA169 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBC |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT002010 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBC |
| Source | thema |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBF |
| Source | thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.6 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Turaev, Vladimir. |
| Relator term | author. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Monoidal Categories and Topological Field Theory |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Vladimir Turaev, Alexis Virelizier. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2017. |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Birkhäuser, |
| -- | 2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XII, 523 p. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Progress in Mathematics, |
| Міжнародний стандартний серійний номер для назви серії (ISSN) | 0743-1643 ; |
| Том/ позначення послідовності | 322 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction -- Part I: Monoidal Categories -- Part 2: Hopf Algebras and Monads -- Part 3: State Sum Topological Field Theory -- Part 4: Graph Topological Field Theory -- Appendices -- Bibliography -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront of current research. Part 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of Müger on the center of a pivotal fusion category. These theorems are proved in Part 2 using the theory of Hopf monads. In Part 3 the authors define the notion of a topological quantum field theory (TQFT) and construct a Turaev-Viro-type 3-dimensional state sum TQFT from a spherical fusion category. Lastly, in Part 4 this construction is extended to 3-manifolds with colored ribbon graphs, yielding a so-called graph TQFT (and, consequently, a 3-2-1 extended TQFT). The authors then prove the main result of the monograph: the state sum graph TQFT derived from any spherical fusion category is isomorphic to the Reshetikhin-Turaev surgery graph TQFT derived from the center of that category. The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Terms governing access | Available to subscribing member institutions only. Доступно лише організаціям членам підписки. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Online access from local network of NaUOA. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Online access with authorization at https://link.springer.com/ |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Онлайн-доступ з локальної мережі НаУОА. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Онлайн доступ з авторизацією на https://link.springer.com/ |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Category theory (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Homological algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Manifolds (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Complex manifolds. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Category Theory, Homological Algebra. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11035 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Manifolds and Cell Complexes (incl. Diff.Topology). |
| -- | http://scigraph.springernature.com/things/product-market-codes/M28027 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Virelizier, Alexis. |
| Relator term | author. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783319498331 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783319498355 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783319842509 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Progress in Mathematics, |
| -- | 0743-1643 ; |
| Volume number/sequential designation | 322 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-3-319-49834-8">https://doi.org/10.1007/978-3-319-49834-8</a> |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | ЕКнига |
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