Properties of Closed 3-Braids and Braid Representations of Links

by Alexander Stoimenow
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eBook

Publisher: Springer International Publishing

Series: SpringerBriefs in Mathematics

Publication Date: December 31, 2017

ISBN: 9783319681498

Binding: Kobo eBook

Availability: eBook

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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.