220 citations · 259 across the 5 of their papers we have counts for
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math.QA2007★ 2 cited
Cluster ensembles, quantization and the dilogarithm II: The intertwiner
V. V. Fock, A. B. Goncharov
The main result is a construction, via the quantum dilogarithm, of certain intertwiner operators, which play the crucial role in the quantization of the cluster X-varieties and con…
math.QA2007★ 220 cited
The quantum dilogarithm and representations quantum cluster varieties
V. V. Fock, A. B. Goncharov
We construct, using the quantum dilogarithm, a series of *-representations of quantized cluster varieties. This includes a construction of infinite dimensional unitary projective r…