The Colored Jones Polynomial and the A-Polynomial of Knots

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dc.creatorLe, Thang T. Q.
dc.date2004-07-30
dc.date2006-03-27
dc.date.accessioned2026-07-07T06:38:42Z
dc.date.available2026-07-07T06:38:42Z
dc.descriptionWe study relationships between the colored Jones polynomial and the A-polynomial of a knot. We establish for a large class of 2-bridge knots the AJ conjecture (of Garoufalidis) that relates the colored Jones polynomial and the A-polynomial. Along the way we also calculate the Kauffman bracket skein module of all 2-bridge knots. Some properties of the colored Jones polynomial of alternating knots are established.
dc.descriptionTypos and minor mistakes corrected. To appear in Advances in Mathematics
dc.identifierhttps://arxiv.org/abs/math/0407521
dc.identifierhttp://arxiv.org/abs/math/0407521
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100830
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M25
dc.titleThe Colored Jones Polynomial and the A-Polynomial of Knots
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