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The volume and Jones polynomial of hyperbolic links


Speaker: David Futer, Michigan State University and MSRI
Location: 2112 MSB
Start time: Wed, Oct 31 2007, 4:10PM

Experimental evidence suggests that the volume of a hyperbolic knot or link is coarsely determined by the coefficients near the head and tail of its Jones polynomial. I will discuss some recent work that proves this is indeed the case for a large family of links. The proof relies on a careful and explicit study of state surfaces constructed from a link diagram.