54 citations · 151 across the 5 of their papers we have counts for
5 papers
Seiberg-Witten curves and double-elliptic integrable systems
G. Aminov, H. W. Braden, A. Mironov +2
An old conjecture claims that commuting Hamiltonians of the double-elliptic integrable system are constructed from the theta-functions associated with Riemann surfaces from the Sei…
Relativistic Classical Integrable Tops and Quantum R-matrices
A. Levin, M. Olshanetsky, A. Zotov
We describe classical top-like integrable systems arising from the quantum exchange relations and corresponding Sklyanin algebras. The Lax operator is expressed in terms of the qua…
Classical integrable systems and soliton equations related to eleven-vertex R-matrix
A. Levin, M. Olshanetsky, A. Zotov
In our recent paper we suggested a natural construction of the classical relativistic integrable tops in terms of the quantum -matrices. Here we study the simplest case -- the 1…
Characteristic Classes and Integrable Systems for Simple Lie Groups
A. Levin, M. Olshanetsky, A. Smirnov +1
This paper is a continuation of our previous paper \cite{LOSZ}. For simple complex Lie groups with non-trivial center, i.e. classical simply-connected groups, and we co…
Characteristic Classes and Integrable Systems. General Construction
A. Levin, M. Olshanetsky, A. Smirnov +1
We consider topologically non-trivial Higgs bundles over elliptic curves with marked points and construct corresponding integrable systems. In the case of one marked point we call…