On the Head and the Tail of the Colored Jones Polynomial

Simple item page
dc.creatorDasbach, Oliver T.
dc.creatorLin, Xiao-Song
dc.date2006-04-10
dc.date.accessioned2026-07-07T07:10:44Z
dc.date.available2026-07-07T07:10:44Z
dc.descriptionThe colored Jones polynomial is a series of one variable Laurent polynomials J(K,n) associated with a knot K in 3-space. We will show that for an alternating knot K the absolute values of the first and the last three leading coefficients of J(K,n) are independent of n when n is sufficiently large. Computation of sample knots indicates that this should be true for any fixed leading coefficient of the colored Jones polynomial for alternating knots. As a corollary we get a Volume-ish Theorem for the colored Jones Polynomial.
dc.description14 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0604230
dc.identifierhttp://arxiv.org/abs/math/0604230
dc.identifierCompositio Math., Vol 142 (2006), No. 5, pp 1332-1342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111515
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M25
dc.titleOn the Head and the Tail of the Colored Jones Polynomial
dc.typetext

Files

Collections

arXiv