Mahler measure of the colored Jones polynomial and the volume conjecture

Details Mahler measure of the colored Jones polynomial and the volume conjecture Mahler measure of the colored Jones polynomial and the volume conjecture

2002-06-24

arxiv.org/abs/math/0206249v1

Surikaisekikenkyusho Kokyuroku No. 1279, (2002), 86--99

Mathematics

Geometric Topology

14 pages, 11 figures, submitted to the proceedings of the workshop `Volume Conjecture and Its Related Topics' held at the Inte

Scientific paper

In this note, I will discuss a possible relation between the Mahler measure
of the colored Jones polynomial and the volume conjecture. In particular, I
will study the colored Jones polynomial of the figure-eight knot on the unit
circle. I will also propose a method to prove the volume conjecture for
satellites of the figure-eight knot.

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