The Colored Jones Polynomials and the Alexander Polynomial of the Figure-eight Knot
نویسنده
چکیده
Abstract. The volume conjecture and its generalization state that the series of certain evaluations of the colored Jones polynomials of a knot would grow exponentially and its growth rate would be related to the volume of a threemanifold obtained by Dehn surgery along the knot. In this paper, we show that for the figure-eight knot the series converges in some cases and the limit equals the inverse of its Alexander polynomial.
منابع مشابه
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تاریخ انتشار 2008