A duality map for quantum cluster varieties from surfaces

Published 4 Sep 2015 in math.QA, hep-th, and math.GT | (1509.01567v3)

Abstract: We define a canonical map from a certain space of laminations on a punctured surface into the quantized algebra of functions on a cluster variety. We show that this map satisfies a number of special properties conjectured by Fock and Goncharov. Our construction is based on the "quantum trace" map introduced by Bonahon and Wong.

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