23 citations · 44 across the 4 of their papers we have counts for
4 papers
Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painleve VI equation
A. Levin, M. Olshanetsky, A. Zotov
In this paper we suggest generalizations of elliptic integrable tops to matrix-valued variables. Our consideration is based on -matrix description which provides Lax pairs in te…
Painleve Field Theory
G. Aminov, S. Arthamonov, A. Levin +2
We propose multidimensional versions of the Painlevé VI equation and its degenerations. These field theories are related to the isomonodromy problems of flat holomorphic infinite r…
Lie Algebroids and generalized projective structures on Riemann surfaces
A. Levin, M. Olshanetsky
The space of generalized projective structures on a Riemann surface of genus g with n marked points is the affine space over the cotangent bundle to the space of SL(N)-opers. I…
Double coset construction of moduli space of holomorphic bundles and Hitchin systems
A. Levin, M. Olshanetsky
We present a description of the moduli space of holomorphic vector bundles over Riemann curves as a double coset space which is differ from the standard loop group construction. Ou…