On the relation between the A-polynomial and the Jones polynomial

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dc.creatorGelca, Razvan
dc.date2000-04-25
dc.date.accessioned2026-07-07T04:34:52Z
dc.date.available2026-07-07T04:34:52Z
dc.descriptionIn previous joint work with Frohman and Lofaro a noncommutative generalization of the A-polynomial of a knot was introduced, consisting of a finitely generated ideal of polynomials (the noncommutative A-ideal) in the quantum plane. The present paper shows that the noncommutative A-ideal of a knot, together with finitely many of its colored Jones polynomials determines all other colored Jones polynomials. Also, for particular knots, such as the unknot and the trefoil, the noncommutative A-ideal completely determines all colored Jones polynomials.
dc.descriptionLATEX, 6 pages
dc.identifierhttps://arxiv.org/abs/math/0004158
dc.identifierhttp://arxiv.org/abs/math/0004158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59072
dc.subjectQuantum Algebra
dc.subjectGeometric Topology
dc.subject57M27
dc.titleOn the relation between the A-polynomial and the Jones polynomial
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