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arXiv · 1509.01567

A duality map for quantum cluster varieties from surfaces

Dylan G. L. Allegretti·Hyun Kyu Kim
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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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BibTeXRIS

Dylan G. L. Allegretti, Hyun Kyu Kim. 2015-09-04. A duality map for quantum cluster varieties from surfaces. https://doi.org/10.1016/j.aim.2016.11.007

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