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Coloured Jones invariants of links and the Volume Conjecture
Authors:Costantino  Francesco
Institution:Institut de Recherche Mathématique Avancée (IRMA)
7 Rue René Descartes
67084 Strasbourg Cedex
France
Abstract:We extend the definition of the coloured Jones polynomials toframed links and trivalent graphs in S3# k (S2 x S1) using astate-sum formulation based on Turaev's shadows. Then, we provethat the natural extension of the Volume Conjecture holds truefor an infinite family of hyperbolic links.
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