Properties of Closed 3-Braids and Braid Representations of Links e-bog
509,93 DKK
(inkl. moms 637,41 DKK)
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 class...
E-bog
509,93 DKK
Forlag
Springer
Udgivet
29 november 2017
Genrer
PBG
Sprog
English
Format
epub
Beskyttelse
LCP
ISBN
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.