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OverviewThis book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how the result fits into a more general pattern concerning universal monoidal categories for algebraic structures. Throughout, the emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. The book will prove valuable to students or researchers entering this field who will learn a host of modern techniques that will prove useful for future work. Full Product DetailsAuthor: Joachim Kock (Universit?? de Nice, Sophia Antipolis Universite de Nice, Sophia Antipolis Universit?? de Nice, Sophia Antipolis Universit?? de Nice, Sophia Antipolis)Publisher: Cambridge University Press Imprint: Cambridge University Press ISBN: 9786612387173ISBN 10: 6612387173 Pages: 256 Publication Date: 04 December 2003 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |