Proof of the volume conjecture for Whitehead doubles of a family of torus knots

Abstract

A technique to calculate the colored Jones polynomials of satellite knots, illustrated by the Whitehead doubles of knots, is presented. Then we prove the volume conjecture for Whitehead doubles of a family of torus knots and show some interesting observations.

18 pages, 3 figures

Cited by in corpus (3)

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• The Volume Conjecture and Topological Strings
• The colored Jones polynomial of the figure-eight knot and a quantum modularity