A note on closed 3-braids

dc.creatorBirman, Joan S.
dc.creatorMenasco, William W.
dc.date2008-02-07
dc.date2008-05-14
dc.date.accessioned2026-07-07T09:38:31Z
dc.date.available2026-07-07T09:38:31Z
dc.descriptionKnots 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.
dc.descriptionFinal version. To appear in Communications in Contemporary Mathematics. 14 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0802.1072
dc.identifierhttp://arxiv.org/abs/0802.1072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160832
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject57M25
dc.titleA note on closed 3-braids
dc.typetext

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