Properties of Closed 3-Braids and Braid Representations of Links

• Main Author: Stoimenow, Alexander (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Group theory.; Topological groups.; Lie groups.; Functions of complex variables.; Topology.; Topological Groups, Lie Groups.; Group Theory and Generalizations.; Several Complex Variables and Analytic Spaces.

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 ident...

Table of Contents:

• 1. Introduction
• 2. Preliminaries, basic definitions and conventions
• 3. Xu’s form and Seifert surfaces
• 4. Polynomial invariants
• 5. Positivity of 3-braid links
• 6. Studying alternating links by braid index
• 7. Applications of the representation theory
• Appendix. –References.-Index.