Kashaev's conjecture and the Chern-Simons invariants of knots and links

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dc.creatorMurakami, Hitoshi
dc.creatorMurakami, Jun
dc.creatorOkamoto, Miyuki
dc.creatorTakata, Toshie
dc.creatorYokota, Yoshiyuki
dc.date2002-03-13
dc.date2002-06-17
dc.date.accessioned2026-07-07T06:30:55Z
dc.date.available2026-07-07T06:30:55Z
dc.descriptionR.M. Kashaev conjectured that the asymptotic behavior of his link invariant, which equals the colored Jones polynomial evaluated at a root of unity, determines the hyperbolic volume of any hyperbolic link complement. We observe numerically that for knots $6_3$, $8_9$ and $8_{20}$ and for the Whitehead link, the colored Jones polynomials are related to the hyperbolic volumes and the Chern-Simons invariants and propose a complexification of Kashaev's conjecture.
dc.description14 pages, 9 figures. Added some calculations
dc.identifierhttps://arxiv.org/abs/math/0203119
dc.identifierhttp://arxiv.org/abs/math/0203119
dc.identifierExperiment. Math. 11 (2002), no. 3, 427--435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98465
dc.subjectGeometric Topology
dc.subject57M27
dc.titleKashaev's conjecture and the Chern-Simons invariants of knots and links
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