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

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 / 57M25 / 57N10

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