Gives an exposition on the relations among monoidal tensor categories, 3-dimensional topological quantum field theory, and 2-dimensional modular functors. Examples of the category of representations of a quantum group at a root of unit, and the Wess-Zumino-Witten modular functor, are discussed in detail. Chapters cover braided tensor, ribbon, and modular tensor categories, 3-dimensional topological quantum field theory, and moduli spaces and complex modular functors. Can be used as a text at the advanced graduate level. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Book by Bojko Bakalov and Alexander Kirillov Jr
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Da: Brook Bookstore On Demand, Napoli, NA, Italia
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Da: Rarewaves.com USA, London, LONDO, Regno Unito
Paperback. Condizione: New. This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory). The following examples are discussed in detail the category of representations of a quantum group at a root of unity and the Wess-Zumino-Witten modular functor. The idea that these topics are related first appeared in the physics literature in the study of quantum field theory. Pioneering works of Witten and Moore-Seiberg triggered an avalanche of papers, both physical and mathematical, exploring various aspects of these relations.Upon preparing to lecture on the topic at MIT, however, the authors discovered that the existing literature was difficult and that there were gaps to fill. The text is wholly expository and finely succinct. It gathers results, fills existing gaps, and simplifies some proofs. The book makes an important addition to the existing literature on the topic. It would be suitable as a course text at the advanced-graduate level. Codice articolo LU-9780821826867
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Da: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlanda
Condizione: New. Gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory). Series: University Lecture Series. Num Pages: 222 pages, Illustrations. BIC Classification: PBK; PBW; PH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 252 x 181 x 13. Weight in Grams: 416. . 2000. Paperback. . . . . Codice articolo V9780821826867
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Paperback. Condizione: Brand New. 221 pages. 10.00x7.00x0.50 inches. In Stock. Codice articolo __0821826867
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Da: Kennys Bookstore, Olney, MD, U.S.A.
Condizione: New. Gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory). Series: University Lecture Series. Num Pages: 222 pages, Illustrations. BIC Classification: PBK; PBW; PH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 252 x 181 x 13. Weight in Grams: 416. . 2000. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821826867
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