Colored Jones invariants of links in S^3 # k S^2 X S^1 and the Volume Conjecture

Francesco Costantino

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Colored Jones invariants of links in S^3 # k S^2 X S^1 and the Volume Conjecture

Francesco Costantino

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Abstract

We extend the definition of the colored Jones polynomials to framed links and trivalent graphs in S^3 # k S^2 X S^1 using a state-sum formulation based on Turaev's shadows. Then, we prove that the natural extension of the Volume Conjecture is true for an infinite family of hyperbolic links.

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BibTeX RIS

Francesco Costantino. 2005-10-18. Colored Jones invariants of links in S^3 # k S^2 X S^1 and the Volume Conjecture. https://arxiv.org/abs/math/0510048

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