Hyperbolic Structure Arising from a Knot Invariant

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dc.creatorHikami, Kazuhiro
dc.date2001-05-28
dc.date.accessioned2026-07-07T06:23:14Z
dc.date.available2026-07-07T06:23:14Z
dc.descriptionWe study the knot invariant based on the quantum dilogarithm function. This invariant can be regarded as a non-compact analogue of Kashaev's invariant, or the colored Jones invariant, and is defined by an integral form. The 3-dimensional picture of our invariant originates from the pentagon identity of the quantum dilogarithm function, and we show that the hyperbolicity consistency conditions in gluing polyhedra arise naturally in the classical limit as the saddle point equation of our invariant.
dc.description30 pages, 18 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0105039
dc.identifierhttp://arxiv.org/abs/math-ph/0105039
dc.identifierInt. J. Mod. Phys. A 16 (2001) 3309--3333
dc.identifierdoi:10.1142/S0217751X0100444X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96159
dc.subjectMathematical Physics
dc.titleHyperbolic Structure Arising from a Knot Invariant
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