Hyperbolic volume and the Mahler measure of the A-polynomial
by Daniel Mathews
Abstract: The A-polynomial is a knot invariant which is defined from representations of the fundamental group of a knot complement. It also encodes information about the hyperbolic geometry of the knot complement. In particular, by taking a certain integral of the A-polynomial known as the Mahler measure, one can obtain information about the hyperbolic volume of the knot complement. In this talk, I'll try to explain what the previous sentences mean, and show some examples.