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OverviewThis book is an introduction to techniques and results in diagrammatic algebra. It starts with abstract tensors and their categorifications, presents diagrammatic methods for studying Frobenius and Hopf algebras, and discusses their relations with topological quantum field theory and knot theory. The text is replete with figures, diagrams, and suggestive typography that allows the reader a glimpse into many higher dimensional processes. The penultimate chapter summarizes the previous material by demonstrating how to braid 3- and 4- dimensional manifolds into 5- and 6-dimensional spaces. The book is accessible to post-qualifier graduate students, and will also be of interest to algebraists, topologists and algebraic topologists who would like to incorporate diagrammatic techniques into their research. Full Product DetailsAuthor: J. Scott Carter , Seiichi KamadaPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.633kg ISBN: 9781470466718ISBN 10: 1470466716 Pages: 365 Publication Date: 28 February 2022 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction Elements Planar trivalent diagrams The multi-category FA Triple arrows for FA Surfaces in 3-space Beyond surfaces Parentheses and so forth Knots in space Foams and surfaces in 4-space Higher dimensional braids Globular multi-categories Bibliography IndexReviewsAuthor InformationJ. Scott Carter, University of South Alabama, Mobile, AL. Seiichi Kamada, Osaka University, Japan. Tab Content 6Author Website:Countries AvailableAll regions |