4 citations · 4 across the 1 of their papers we have counts for
5 papers
Quantizations of Hitchin and Beauville-Mukai integrable systems
B. Enriquez, V. Rubtsov
Spectral transformation is known to set up a birational morphism between the Hitchin and Beauville-Mukai integrable systems. The corresponding phase spaces are: (a) the cotangent b…
Dualities in integrable systems: geometrical aspects
A. Gorsky, V. Rubtsov
We discuss geometrical aspects of different dualities in the integrable systems of the Hitchin type and its various generalizations. It is shown that T duality known in the string…
Hecke-Tyurin parametrization of the Hitchin and KZB systems
B. Enriquez, V. Rubtsov
We study the parametrization of the moduli space Bun_2(C)_L of rank 2 bundles over a curve C with fixed determinant, provided by Hecke modifications at fixed points of the trivial…
Some examples of quantum groups in higher genus
B. Enriquez, V. Rubtsov
This is a survey of our construction of current algebras, associated with complex curves and rational differentials. We also study in detail two classes of examples. The first is t…
Higher Gel'fand-Dikii structures
B. Enriquez, A. Orlov, V. Rubtsov
We apply the procedure of Magri and Weinstein to produce an infinity of compatible Poisson structures on a bihamiltonian manifold, to the case of the KdV phase space. The higher Ge…