Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers a detailed exposition accessible to studentsProvides numerous figuresWinner of the 2016 Ferran Sunyer i Balaguer PrizeThis monograph is devoted to monoidal categories and their connections with 3-dimensional topologica. N� de r�f. du vendeur 132284890

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Monoidal Categories and Topological Field Theory

Alexis Virelizier

Edit� par Springer International Publishing Jul 2017, 2017

ISBN 10 : 3319498339 ISBN 13 : 9783319498331

Neuf Couverture rigide

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 1introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of M�ger 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 tothe 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. 536 pp. Englisch. N� de r�f. du vendeur 9783319498331

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Monoidal Categories and Topological Field Theory

Turaev, Vladimir; Virelizier, Alexis

Edit� par Birkh�user, 2017

ISBN 10 : 3319498339 ISBN 13 : 9783319498331

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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis

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Etat : As New. Unread book in perfect condition. N� de r�f. du vendeur 28156915

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Monoidal Categories and Topological Field Theory (Progress in Mathematics) by Turaev, Vladimir, Virelizier, Alexis [Hardcover ]

"Turaev, Vladimir", "Virelizier, Alexis"

Edit� par Birkhäuser, 2017

ISBN 10 : 3319498339 ISBN 13 : 9783319498331

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Vendeur : booksXpress, Bayonne, NJ, Etats-Unis

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Hardcover. Etat : new. N� de r�f. du vendeur 9783319498331

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Monoidal Categories and Topological Field Theory

Alexis Virelizier

Edit� par Springer International Publishing, 2017

ISBN 10 : 3319498339 ISBN 13 : 9783319498331

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 1introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of M�ger 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 tothe 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. N� de r�f. du vendeur 9783319498331

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