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Volume conjecture, A-polynomial, Mahler measure and L-series
Last modified: 2014-02-05
Abstract
The volume conjecture relates the asymptotics of colored Jones polynomial of a knot with the volume of knot complement. I will show how this is related to the A-polynomial of a knot, its Mahler measure and L-series of certain elliptic curve. Also, I will mention our recent results related to the quantized versions of some of these deep relationships.