Approximations to the volume of hyperbolic knots

Details Approximations to the volume of hyperbolic knots Approximations to the volume of hyperbolic knots

2011-02-18

arxiv.org/abs/1102.3742v1

Mathematics

Geometric Topology

13 pages and 6 figures. This short note will be published by RIMS Kokyuroku. Comments are welcome

Scientific paper

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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