Properties of Closed 3-Braids and B - E-book

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Properties Of Closed 3-braids And Braid Representations Of Links - ENG

Alexander Stoimenow

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Sinopsis

ISBN:	9783319681498
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Teoría de Grupos
Año de publicación:	2017-11-29

This book studies diverse aspects of braid representations via knots and links. Complete classification results are illustrated for several properties through Xu 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.

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