Colored Jones invariants of links in S³ # k S² X S¹ and the Volume Conjecture
classification
🧮 math.GT
keywords
linkscoloredconjecturejonesvolumedefinitionextendextension
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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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