Proof of the Volume Conjecture for Whitehead Doubles of a Family of Torus Knots

Citation:

Hao ZHENG.Proof of the Volume Conjecture for Whitehead Doubles of a Family of Torus Knots[J].Chinese Annals of Mathematics B,2007,28(4):375~388
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Authors:

Hao ZHENG;
Abstract: A technique to compute the colored Jones polynomials of satellite knots, illustrated by theWhitehead doubles of knots, is presented. Then the author proves the volume conjecture for Whitehead doubles of a family of torus knots and shows some interesting observations.

Keywords:

Volume conjecture, Whitehead double, Torus knots, Whitehead link

Classification:

57M25, 57N10
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