Properties of Closed 3-Braids and Braid Representations of Links

by Alexander Stoimenow
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Alexander Stoimenow Properties of Closed 3-Braids and Braid Representations of Links
Alexander Stoimenow - Properties of Closed 3-Braids and Braid Representations of Links

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Description

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.


Contributors

Author:
Alexander Stoimenow

Further information

Illustrations Note:
89 SW-Abb.
Media Type:
Softcover
Publisher:
Springer International Publishing
Review:
"This book contains various interesting and detailed properties of polynomial invariants of closed 3-braids (or 4-braids). This makes a nice complement to a survey by J. S. Birman and W. W. Menasco ... where properties of closed 3-braids, mainly focused on the classification theorem, are summarized." (Tetsuya Ito, Mathematical Reviews, August, 2018)
Language:
English
Number of Pages:
110

Master Data

Product Type:
Paperback book
Release date:
November 30, 2017
Package Dimensions:
0.234 x 0.156 x 0.008 m; 0.2 kg
GTIN:
09783319681481
DUIN:
4PF8B5RBQEO
Manufacturer Part Number:
29902122
$59.18
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