128 citations · 447 across the 39 of their papers we have counts for
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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…
Duality in Integrable Systems and Gauge Theories
V. Fock, A. Gorsky, N. Nekrasov +1
We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of Hamiltonian and Poisson reductions. The dualities we study…
Hilbert Schemes, Separated Variables, and D-Branes
A. Gorsky, N. Nekrasov, V. Rubtsov
We explain Sklyanin's separation of variables in geometrical terms and construct it for Hitchin and Mukai integrable systems. We construct Hilbert schemes of points on for…
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…