A note on closed 3-braids

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Knots and links which are closed 3-braids are a very special class. Like 2-bridge knots and links, they are simple enough to admit a complete classification. At the same time they are rich enough to serve as a source of examples on which, with luck, a researcher may be able to test various conjectures. The goal of this review article 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. We also use it as an opportunity to review what is known and suggest some open questions.
Final version. To appear in Communications in Contemporary Mathematics. 14 pages, 1 figure

Keywords

Geometric Topology, Group Theory, 57M25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/160832

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.1072
 http://arxiv.org/abs/0802.1072

Collections

arXiv