The hyperbolic volume of knots from quantum dilogarithm

1996/01/23 by R. M. Kashaev, Kashaev, R. M. · 9 citations
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9601025

8 pages, LaTeX, no figures, minor changes with additional references, to appear in Lett. Math. Phys

arxiv created 1996/03/25 · arxiv updated 2009/11/30

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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