Properties Of Closed 3-braids And Braid Representations Of Links

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    Properties of Closed 3-Braids and Braid Representations of Links
    By: Alexander Stoimenow
    Publisher:
    Springer
    Print ISBN: 9783319681481, 3319681486
    eText ISBN: 9783319681498, 3319681494
    Copyright year: 2017
    Format: PDF
    Available from $ 69.99 USD
    SKU 9783319681498
    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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