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Diagrammatic Algebra

J. Scott Carter
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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.
      Format: Paperback / softback CONTRIBUTORS: J. Scott Carter EAN: 9781470466718 COUNTRY: United States PAGES: WEIGHT: 633 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2021-12-01 CITY: GENRE: MATHEMATICS / General WIDTH: 178 cm SPINE:

      Book Themes:

      Mathematics

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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.
      Format: Paperback / softback CONTRIBUTORS: J. Scott Carter EAN: 9781470466718 COUNTRY: United States PAGES: WEIGHT: 633 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2021-12-01 CITY: GENRE: MATHEMATICS / General WIDTH: 178 cm SPINE:

      Book Themes:

      Mathematics

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