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OverviewPure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is both detailed and accessible. Topological Quantum Field Theories from Subfactors provides a self-contained, explicit description of Ocneanu's construction It introduces and discusses its various ingredients with the distinct advantage of employing only genuine triangulations. The authors begin with axioms for a TQFT, go through the Turaev-Viro prescription for constructing such a TQFT, and finally work through Ocneanu's method of starting with a finite depth hyperfinite subfactor and obtaining the data needed to invoke the Turaev-Viro machine. The authors provide a very concise treatment of finite factors of type and their bimodules and include details and calculations for all constructions. They also present, perhaps for the first time in book form, notions such as quantization functors and fusion algebras. Accessible to graduate students and others just beginning to explore this intriguing topic, Topological Quantum Field Theories from Subfactors will also be of interest to researchers in both mathematics and theoretical physics. Full Product DetailsAuthor: Vijay Kodiyalam , V S Sunder , Haim Brezis , V.S. Sunder (Institute of Mathematical Sciences, Madras, India)Publisher: Taylor & Francis Inc Imprint: Chapman & Hall/CRC Volume: 423 Dimensions: Width: 15.60cm , Height: 0.90cm , Length: 23.40cm Weight: 0.204kg ISBN: 9781584882411ISBN 10: 1584882417 Pages: 136 Publication Date: 07 December 2000 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Out of Print Availability: Out of stock Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |