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Approximations to the volume of hyperbolic knots.

Mon, 02/21/2011 - 16:01 — SomNambul
Authors: Stefan Friedl, Nicholas Jackson
Subjects: Geometric Topology
link: http://arxiv.org/abs/1102.3742
Abstract

We present computational data and heuristic arguments which suggest that
given a hyperbolic knot the volume correlates with its determinant, the Mahler
measure of its Alexander polynomial and the Mahler measure of the twisted
Alexander polynomial corresponding to the discrete and faithful
SL(2,C)-representation.

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