Download or read book Properties of Closed 3-Braids and Braid Representations of Links written by Alexander Stoimenow and published by Springer. This book was released on 2017-11-29 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.