Noncommutative trigonometry and the A-polynomial of the trefoil knot

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dc.creatorGelca, Razvan
dc.date2000-04-25
dc.date2000-04-27
dc.date.accessioned2026-07-07T04:34:52Z
dc.date.available2026-07-07T04:34:52Z
dc.descriptionThe paper shows the computation of the noncommutative generalization of the A-polynomial of the trefoil knot. The classical A-polynomial was introduced by Cooper, Culler, Gillet, Long and Shalen, and was generalized to the context of Kauffman bracket skein modules by the author in joint work with Frohman and Lofaro. A major step in determining the noncommutative version of the A-polynomial of the trefoil is the description of the action of the Kauffman bracket skein algebra of the torus on the skein module of the knot complement. As such, the computation reduces to operations with noncommutative trigonometric functions.
dc.descriptionLATEX, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0004155
dc.identifierhttp://arxiv.org/abs/math/0004155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59069
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M27
dc.titleNoncommutative trigonometry and the A-polynomial of the trefoil knot
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