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Monoidal Categories and Topological Field Theory (Progress in Mathematics)
Turaev, Vladimir, Virelizier, Alexis
€ 223.92
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Description for Monoidal Categories and Topological Field Theory (Progress in Mathematics)
Hardcover. Series: Progress in Mathematics. Num Pages: biography. BIC Classification: PBF; PBP. Category: (P) Professional & Vocational. Dimension: 235 x 155. .
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. ... Read moreProduct Details
Format
Hardback
Publication date
2017
Publisher
Birkhäuser
Condition
New
Series
Progress in Mathematics
Number of Pages
523
Place of Publication
Basel, Switzerland
ISBN
9783319498331
SKU
V9783319498331
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Monoidal Categories and Topological Field Theory (Progress in Mathematics)
“The book gives a self-contained account of the algebraic construction of TQFTs including all required background on the theory of monoidal categories. As such, it appears to be unique in the literature. Material otherwise only accessible through various journal articles, and partly only published in preprints, has been combined into a single well-written and accessible account of the theory. The ... Read more