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math-ph2018★ 22 cited
Painleve equations from Nakajima-Yoshioka blowup relations
M. Bershtein, A. Shchechkin
Gamayun, Iorgov and Lisovyy in 2012 proposed that tau function of the Painlevé equation is equal to the series of Virasoro conformal blocks. We study similar series of …
math-ph2018★ 24 cited
Cluster Toda chains and Nekrasov functions
M. Bershtein, P. Gavrylenko, A. Marshakov
In this paper the relation between the cluster integrable systems and -difference equations is extended beyond the Painlevé case. We consider the class of hyperelliptic curves w…