{"product_id":"monoidal-categories-and-topological-field-vladimir-turaev-9783319842509","title":"Monoidal Categories and Topological Field Theory","description":"\u003cp\u003eThis 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.\u003c\/p\u003ePart 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of M?er 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.\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Vladimir Turaev, Alexis Virelizier\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3319842501\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783319842509\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/01\/2018\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 523\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.64lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.08d","brand":"Vladimir Turaev","offers":[{"title":"Paperback","offer_id":44125970006271,"sku":"9783319842509","price":199.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_6a814a99-7587-43a3-a379-38e0b9c1d305.jpg?v=1687445574","url":"https:\/\/www.whiterainbookhouse.com\/products\/monoidal-categories-and-topological-field-vladimir-turaev-9783319842509","provider":"WR Book House","version":"1.0","type":"link"}