A NOTE ON CLOSED 3-BRAIDS-Reference-Cited by-同舟云学术

A NOTE ON CLOSED 3-BRAIDS

Published:2008-11 Issue:supp01 Volume:10 Page:1033-1047
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

BIRMAN JOAN S.¹,MENASCO WILLIAM W.²

Affiliation:

1. Department of Mathematics, Barnard College and Columbia University, 2990 Broadway, New York, NY 10027, USA

2. Department of Mathematics, University at Buffalo, 244 Mathematics Building, Buffalo, New York 14260-2900, USA

Abstract

This is a review article about knots and links of braid index 3. Its goal is to gather together, in one place, some of the tools that are special to knots and links of braid index 3, in a form that could be useful for those who have a need to calculate, and need to know precisely all the exceptional cases.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199708003150

Reference31 articles.

1. Minimum crossing numbers for 3-braids

2. On the Jones polynomial of closed 3-braids

3. A New Approach to the Word and Conjugacy Problems in the Braid Groups

4. Studying links via closed braids. III. Classifying links which are closed 3-braids

5. Stabilization in the braid groups II: Transversal simplicity of knots

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Alexander and Jones polynomials of weaving 3-braid links and Whitney rank polynomials of Lucas lattice;Heliyon;2024-04

2. 3-braid knots with maximal 4-genus;Transactions of the American Mathematical Society, Series B;2024-02-27

3. Alexander and Jones Polynomials of Weaving 3-Braid Links and Whitney Rank Polynomials of Lucas Lattice;2024

4. Agol cycles of pseudo-Anosov 3-braids;Geometriae Dedicata;2023-07-12

5. A Note on the Jones Polynomials of 3-Braid Links;Siberian Mathematical Journal;2022-09