41 citations · 153 across the 15 of their papers we have counts for
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math.QA2015★ 41 cited
A duality map for quantum cluster varieties from surfaces
Dylan G. L. Allegretti, Hyun Kyu Kim
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…
math.AG2015★ 2 cited
The cluster symplectic double and moduli spaces of local systems
Dylan G. L. Allegretti
We prove a conjecture of Fock and Goncharov which provides a birational equivalence of a cluster variety called the cluster symplectic double and a certain moduli space of local sy…