Properties of Closed 3-Braids and Braid Representations of Links

Released on by Alexander Stoimenow
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  • Properties of Closed 3-Braids and Braid Representations of Links Book Detail

  • Author : Alexander Stoimenow
  • Release Date : 2017-11-29
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 115
  • ISBN 13 : 3319681494
  • File Size : 57,57 MB
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Properties of Closed 3-Braids and Braid Representations of Links by Alexander Stoimenow PDF Summary

Book Description: This book studies diverse aspects of braid representations via knots and links. Complete classification results are illustrated for several properties through Xu’s normal 3-braid form and the Hecke algebra representation theory of link polynomials developed by Jones. Topological link types are identified within closures of 3-braids which have a given Alexander or Jones polynomial. Further classifications of knots and links arising by the closure of 3-braids are given, and new results about 4-braids are part of the work. Written with knot theorists, topologists,and graduate students in mind, this book features the identification and analysis of effective techniques for diagrammatic examples with unexpected properties.

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