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OverviewThis 2003 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 (Université de Nice, Sophia Antipolis)Publisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) Volume: 59 ISBN: 9780511615443ISBN 10: 0511615442 Publication Date: 19 January 2010 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Tertiary & Higher Education Format: Undefined Publisher's Status: Active Availability: In stock We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviews'This book is a solid introduction to some important ideas of contemporary interest. It is very pleasant to read, and its ample collection of exercises includes interesting examples in addition to tests of basic understanding.' Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |