The noncommutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial

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dc.creatorGelca, Razvan
dc.creatorSain, Jeremy
dc.date2002-01-11
dc.date.accessioned2026-07-07T04:45:48Z
dc.date.available2026-07-07T04:45:48Z
dc.descriptionThe noncommutative A-ideal of a knot is a generalization of the A-polynomial, defined using Kauffman bracket skein modules. In this paper we show that any knot that has the same noncommutative A-ideal as the (2,2p+1)-torus knot has the same colored Jones polynomials. This is a consequence of the orthogonality relation, which yields a recursive relation for computing all colored Jones polynomials of the knot.
dc.description15 pages, Latex, 13 figures
dc.identifierhttps://arxiv.org/abs/math/0201100
dc.identifierhttp://arxiv.org/abs/math/0201100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63095
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M27
dc.titleThe noncommutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial
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