SpringerBriefs in Mathematics

Stoimenow, Alexander

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.

Details

Published by: Springer

Publication Date: 2017-12-08

Format: Paperback

ISBN-13: 9783319681481

DOI: 10.1007/978-3-319-68149-8

Dimensions: 235cm x155cm

Pages: 110