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9781470466718 Academic Inspection Copy

Diagrammatic Algebra

  • ISBN-13: 9781470466718
  • Publisher: AMERICAN MATHEMATICAL SOCIETY
    Imprint: AMERICAN MATHEMATICAL SOCIETY
  • By J. Scott Carter, By Seiichi Kamada
  • Price: AUD $321.00
  • Stock: 0 in stock
  • Availability: This book is temporarily out of stock, order will be despatched as soon as fresh stock is received.
  • Local release date: 29/05/2022
  • Format: Undefined (254.00mm X 178.00mm) 365 pages Weight: 633g
  • Categories: Mathematics [PB]
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This 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.
J. Scott Carter, University of South Alabama, Mobile, AL. Seiichi Kamada, Osaka University, Japan.
Introduction 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 Index
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