128 citations · 447 across the 39 of their papers we have counts for
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Isomonodromic deformations: Confluence, Reduction Quantisation
Ilia Gaiur, Marta Mazzocco, Vladimir Rubtsov
In this paper we study the isomonodromic deformations of systems of differential equations with poles of any order on the Riemann sphere as Hamiltonian flows on the product of co-a…
Algebras of quantum monodromy data and decorated character varieties
Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov
The Riemann-Hilbert correspondence is an isomorphism between the de Rham moduli space and the Betti moduli space, defined by associating to each Fuchsian system its monodromy repre…
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…
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…