The volume conjecture for augmented knotted trivalent graphs

Abstract

We propose to generalize the volume conjecture to knotted trivalent graphs and we prove the conjecture for all augmented knotted trivalent graphs. As a corollary we find that for any link L there is a link containing L for which the volume conjecture holds.

28 pages, 14 figures Corrected typos, added corollary about arithmeticity

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