The hyperbolic volume of knots from quantum dilogarithm

Details The hyperbolic volume of knots from quantum dilogarithm The hyperbolic volume of knots from quantum dilogarithm

1996-01-23

arxiv.org/abs/q-alg/9601025v2

Mathematics

Quantum Algebra

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

Scientific paper

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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