In our recent paper we described relationships between integrable systems inspired by the
AGT conjecture. On the gauge theory side an integrable spin chain naturally emerges while …

This paper describes isomonodromy problems in terms of flat $ G $-bundles over punctured
elliptic curves $\Sigma_\tau $ and connections with regular singularities at marked points …

A bstract We consider Dotsenko-Fateev matrix models associated with compactified Calabi-
Yau threefolds. They can be constructed with the help of explicit expressions for refined …

Multiplicative Hitchin systems are analogues of Hitchin's integrable system based on moduli
spaces of G-Higgs bundles on a curve C where the Higgs field is group-valued, rather than …

A bstract We describe classical top-like integrable systems arising from the quantum
exchange relations and corresponding Sklyanin algebras. The Lax operator is expressed in …

We describe a construction of elliptic integrable systems based on bundles with nontrivial
characteristic classes, especially attending to the bundle-modification procedure, which …

We construct a rational integrable system (the rational top) on a co-adjoint orbit of SL N Lie
group. It is described by the Lax operator with spectral parameter and classical non …

We discuss quantum dynamical elliptic R-matrices related to arbitrary complex simple Lie
group G. They generalize the known vertex and dynamical R-matrices and play an …

We describe the most general GL NM classical elliptic finite-dimensional integrable system,
which Lax matrix has n simple poles on elliptic curve. For M= 1 it reproduces the classical …

We consider topologically non-trivial Higgs G-bundles over Riemann surfaces Σ g with
marked points and the corresponding Hitchin systems. We show that if G is not simply …