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Quantization of canonical bases and the quantum symplectic double (1605.01599v3)
Published 5 May 2016 in math.QA, hep-th, and math.GT
Abstract: We describe a natural $q$-deformation of Fock and Goncharov's canonical basis for the algebra of regular functions on a cluster variety associated to a quiver of type $A$. We then describe an extension of this construction involving a cluster variety called the symplectic double.
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