The skein polynomial of closed 3-braids

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dc.creatorStoimenow, A.
dc.date2001-03-06
dc.date2001-04-01
dc.date.accessioned2026-07-07T09:59:14Z
dc.date.available2026-07-07T09:59:14Z
dc.descriptionUsing the band representation of the 3-strand braid group, it is shown that the genus of 3-braid links can be read off their skein polynomial. Some applications are given, in particular a simple proof of Morton's conjectured inequality and a condition to decide that some polynomials, like the one of 9_{49}, are not admitted by 3-braid links. Finally, alternating links of braid index 3 are classified.
dc.description10 pages; revision 1 Apr 01: minor changes, added remarks on question 4
dc.identifierhttps://arxiv.org/abs/math/0103041
dc.identifierhttp://arxiv.org/abs/math/0103041
dc.identifierJ. Reine Angew. Math. 564 (2003), 167--180.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167948
dc.subjectGeometric Topology
dc.subject57M25
dc.titleThe skein polynomial of closed 3-braids
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