The hyperbolic volume of knots from quantum dilogarithm
R. M. Kashaev
Abstract
The invariant of a link in three-sphere, associated with the cyclic quantum dilogarithm, depends on a natural number N. By the analysis of particular examples it is argued that for a hyperbolic knot (link) the absolute value of this invariant grows exponentially at large N, the hyperbolic volume of the knot (link) complement being the growth rate.
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