Mahler measure of the colored Jones polynomial and the volume conjecture
Abstract
Description
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.
14 pages, 11 figures, submitted to the proceedings of the workshop `Volume Conjecture and Its Related Topics' held at the International Institute for Advanced Studies from 5th to 8th March, 2002
14 pages, 11 figures, submitted to the proceedings of the workshop `Volume Conjecture and Its Related Topics' held at the International Institute for Advanced Studies from 5th to 8th March, 2002