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OverviewOperads provide a universal language to relate several disciplines in mathematics and physics. The focus of this book, which is the first of its kind, is the particularly striking relation between algebra, topology and string theory that is mediated by operads of graphs and surfaces in their role as a model of the correlation functions of quantum field theory. The text supplies all the necessary background material, including discussions of the relevant aspects of operads, cell models, moduli spaces, deformation quantization, graph Feynman rules and topological and conformal field theory in their open/closed versions. The central paradigm is Deligne's conjecture on the Hochschild cohomology and its generalizations to the cyclic, the A∞ and the moduli space cases. Its solution is presented as a natural consequence of this operadic point of view of strings.Starting at the basic definition and gradually proceeding to advanced topics at the forefront of research, the book provides the reader with a self-contained, uniform and natural approach to the subject which makes it a valuable resource for graduate students and researchers alike. Full Product DetailsAuthor: Ralph M Kaufmann (Purdue Univ, Usa)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Volume: 0 ISBN: 9789812775962ISBN 10: 981277596 Pages: 300 Publication Date: 30 June 2018 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Awaiting stock  The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of ContentsOperads; Surfaces; Correlation functions; The Hochschild Complex; Deligne's Conjecture and Its Generalizations; Further Applications.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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