Diagrammatic Algebra

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  • Diagrammatic Algebra Book Detail

  • Author : J. Scott Carter
  • Release Date : 2021-12-15
  • Publisher : American Mathematical Society
  • Genre : Mathematics
  • Pages : 365
  • ISBN 13 : 1470466716
  • File Size : 10,10 MB

Diagrammatic Algebra by J. Scott Carter PDF Summary

Book Description: 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.

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This book constitutes the refereed proceedings of the 10th International Conference on the Theory and Application of Diagrams, Diagrams 2018, held in Edinburgh,