Properties of closed 3-braids and braid representations of links
著者
書誌事項
Properties of closed 3-braids and braid representations of links
（SpringerBriefs in mathematics）
Springer, c2017
- : [pbk.]
大学図書館所蔵 件 / 全6件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 101-104) and index
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より
