Difference equation of the colored Jones polynomial for torus knot

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dc.creatorHikami, Kazuhiro
dc.date2004-03-14
dc.date.accessioned2026-07-07T06:23:16Z
dc.date.available2026-07-07T06:23:16Z
dc.descriptionWe prove that the N-colored Jones polynomial for the torus knot T_{s,t} satisfies the second order difference equation, which reduces to the first order difference equation for a case of T_{2,2m+1}. We show that the A-polynomial of the torus knot can be derived from this difference equation. Also constructed is a q-hypergeometric type expression of the colored Jones polynomial for T_{2,2m+1}.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0403224
dc.identifierhttp://arxiv.org/abs/math/0403224
dc.identifierInt. J. Math. 15, 959--965 (2004)
dc.identifierdoi:10.1142/S0129167X04002582
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96172
dc.subjectGeometric Topology
dc.titleDifference equation of the colored Jones polynomial for torus knot
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