Proof of the volume conjecture for Whitehead doubles of a family of torus knots
نویسنده
چکیده
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.
منابع مشابه
Proof of the volume conjecture for Whitehead doubles of tours knots
A technique to calculate the colored Jones polynomial of satellite knots, illustrated by the Whitehead doubles of knots, is presented. Then we prove the volume conjecture for Whitehead doubles of torus knots and show some interesting observations.
متن کاملProof of the volume conjecture for Whitehead double of tours knots
A technique to calculate the colored Jones polynomial of satellite knots, illustrated by the Whitehead double of knots, is presented. Then we prove the volume conjecture for Whitehead double of torus knots and show some interesting observations.
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We prove, for an alternating pretzel knot K, that the canonical genus of its Whitehead doubles W (K) is equal to the crossing number c(K) of K, verifying a conjecture of Tripp in the case of these knots.
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