Asymptotics of the Colored Jones Function of a Knot

Abstract

To a knot in 3-space, one can associate a sequence of Laurent polynomials, whose nth term is the nth colored Jones polynomial. The paper is concerned with the asymptotic behavior of the value of the nth colored Jones polynomial at eα/n, when α is a fixed complex number and n tends to infinity. We analyze this asymptotic behavior to all orders in 1/n when… (More)

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