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Properties of closed 3-braids and br...

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Properties of closed 3-braids and braid representations of links

Record Type:	Electronic resources : Monograph/item
Title/Author:	Properties of closed 3-braids and braid representations of linksby Alexander Stoimenow.
Author:	Stoimenow, Alexander.
Published:	Cham :Springer International Publishing :2017.
Description:	x, 110 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Braid theory.
Online resource:	http://dx.doi.org/10.1007/978-3-319-68149-8
ISBN:	9783319681498$q(electronic bk.)

Properties of closed 3-braids and braid representations of links
Stoimenow, Alexander.

Properties of closed 3-braids and braid representations of links[electronic resource] /by Alexander Stoimenow. - Cham :Springer International Publishing :2017. - x, 110 p. :ill., digital ;24 cm. - Springerbriefs in mathematics,2191-8198. - Springerbriefs in mathematics..

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.

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.

ISBN: 9783319681498$q(electronic bk.)

Standard No.: 10.1007/978-3-319-68149-8doiSubjects--Topical Terms:

284137
Braid theory.

LC Class. No.: QA612.23

Dewey Class. No.: 514.224

Properties of closed 3-braids and braid representations of links
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520 $a 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.
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