東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back to Search results for [ subject:"Braid theory." ]

Switch To: Labeled | MARC Mode | ISBD

Properties of closed 3-braids and br...

Stoimenow, Alexander.

Linked to FindBook

Google Book

Amazon

博客來

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 links/ by Alexander Stoimenow.
Author:	Stoimenow, Alexander.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	x, 110 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Braid theory. -
Online resource:	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:

672437
Braid theory.

LC Class. No.: QA612.23

Dewey Class. No.: 514.224

Properties of closed 3-braids and braid representations of links
LDR:02072nmm a2200337 a 4500 001 2112548
003 DE-He213
005 20180522164433.0
006 m d
007 cr nn 008maaau
008 180719s2017 gw s 0 eng d
020 $a 9783319681498 $q (electronic bk.)
020 $a 9783319681481 $q (paper)
024 7 $a 10.1007/978-3-319-68149-8 $2 doi
035 $a 978-3-319-68149-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA612.23
072 7 $a PBG $2 bicssc
072 7 $a MAT014000 $2 bisacsh
072 7 $a MAT038000 $2 bisacsh
082 0 4 $a 514.224 $2 23
090 $a QA612.23 $b .S873 2017
100 1 $a Stoimenow, Alexander. $3 3270395
245 1 0 $a Properties of closed 3-braids and braid representations of links $h [electronic resource] / $c by Alexander Stoimenow.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a x, 110 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springerbriefs in mathematics, $x 2191-8198
505 0 $a 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.
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.
650 0 $a Braid theory. $3 672437
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Topological Groups, Lie Groups. $3 891005
650 2 4 $a Topology. $3 522026
650 2 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Springerbriefs in mathematics. $3 3270340
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-68149-8
950 $a Mathematics and Statistics (Springer-11649)