The hyperbolic volume of knots from quantum dilogarithm
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
The invariant of a link in three-sphere, associated with the cyclic quantum dilogarithm, depends on a natural number . 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 , the hyperbolic volume of the knot (link) complement being the growth rate.
Cite
@article{arxiv.q-alg/9601025,
title = {The hyperbolic volume of knots from quantum dilogarithm},
author = {R. M. Kashaev},
journal= {arXiv preprint arXiv:q-alg/9601025},
year = {2008}
}
Comments
8 pages, LaTeX, no figures, minor changes with additional references, to appear in Lett. Math. Phys