Name: Monoidal Categories and Topological Field Theory (en Inglés)
Price: 812987.00 COP
Availability: InStock
Author: Turaev, Vladimir ; Virelizier, Alexis
ISBN: 9783319842509

portada Monoidal Categories and Topological Field Theory (en Inglés)

Formato

Libro Físico

Autor

Vladimir Turaev

Alexis Virelizier

Editorial

Birkhauser

Idioma

Inglés

N° páginas

523

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 2.7 cm

Peso

0.74 kg.

ISBN13

9783319842509

Categorías

Algebra
Topología

Monoidal Categories and Topological Field Theory (en Inglés)

Vladimir Turaev (Autor) · Alexis Virelizier (Autor) · Birkhauser · Tapa Blanda

Libro Físico

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$ 1.478.159

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Reseña del libro "Monoidal Categories and Topological Field Theory (en Inglés)"

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 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.