Proof of the volume conjecture for Whitehead doubles of tours knots
نویسنده
چکیده
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.
منابع مشابه
Proof of the volume conjecture for Whitehead doubles of a family of torus knots
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.
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.
متن کاملCanonical genus and the Whitehead doubles of pretzel knots
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.
متن کاملCanonical Genus and the Whitehead Doubles of Certain Alternating Knots
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.
متن کاملKnots without Cosmetic Crossings
Let K′ be a knot that admits no cosmetic crossing changes and let C be a prime, non-cable knot. Then any knot that is a satellite of C with winding number zero and pattern K′ admits no cosmetic crossing changes. As a consequence we prove the nugatory crossing conjecture for Whitehead doubles of prime, non-cable knots.
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تاریخ انتشار 2007