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Properties of closed 3-braids and braid representations of links

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Properties of closed 3-braids and braid representations of links/ by Alexander Stoimenow.
作者:	Stoimenow, Alexander.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	x, 110 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Braid theory. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-68149-8
ISBN:	9783319681498

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

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

681211
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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