65 citations · 527 across the 30 of their papers we have counts for
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math-ph2016★ 19 cited
Backlund transformation of Painleve III() tau function
M. A. Bershtein, A. I. Shchechkin
We study explicit formula (suggested by Gamayun, Iorgov, Lisovyy) for Painlevé III() function in terms of Virasoro conformal blocks with central charge . The Painlevé e…
math-ph2016★ 42 cited
Q-deformed Painleve tau function and q-deformed conformal blocks
M. A. Bershtein, A. I. Shchechkin
We propose -deformation of the Gamayun-Iorgov-Lisovyy formula for Painlevé function. Namely we propose formula for function for -difference Painlevé equation correspo…
hep-th2016★ 24 cited
Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants
Mikhail Bershtein, Giulio Bonelli, Massimiliano Ronzani +1
We show that equivariant Donaldson polynomials of compact toric surfaces can be calculated as residues of suitable combinations of Virasoro conformal blocks, by building on AGT cor…