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

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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.

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Correspondence to Hao Zheng.

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Zheng, H. Proof of the Volume Conjecture for Whitehead Doubles of a Family of Torus Knots. Chin. Ann. Math. Ser. B 28, 375–388 (2007). https://doi.org/10.1007/s11401-006-0373-3

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  • DOI: https://doi.org/10.1007/s11401-006-0373-3

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