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hep-th2024
On Krichever tau-function and Verlinde formula
A. Marshakov
We remind the definition and main properties of the Krichever quasiclassical tau-function, and turn to the application of these formulas for recent studies of two-dimensional quant…
nlin.SI2024
Cluster Reductions, Mutations, and -Painlevé Equations
Mikhail Bershtein, Pavlo Gavrylenko, Andrei Marshakov +1
We propose an extension of the Goncharov-Kenyon class of cluster integrable systems by their Hamiltonian reductions. This extension allows us to fill in the gap in cluster construc…