128 citations · 447 across the 39 of their papers we have counts for
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Generalizations of Poisson structures related to rational Gaudin model
Dimitri Gurevich, Vladimir Rubtsov, Pavel Saponov +1
The Poisson structure arising in the Hamiltonian approach to the rational Gaudin model looks very similar to the so-called modified Reflection Equation Algebra. Motivated by this a…
Algebraic properties of Manin matrices II: q-analogues and integrable systems
A. Chervov, G. Falqui, V. Rubtsov +1
We study a natural q-analogue of a class of matrices with noncommutative entries, which were first considered by Yu. I. Manin in 1988 in relation with quantum group theory, (called…
Algebraic properties of Manin matrices 1
A. Chervov, G. Falqui, V. Rubtsov
We study a class of matrices with noncommutative entries, which were first considered by Yu. I. Manin in 1988 in relation with quantum group theory. They are defined as "noncommuta…
An algebraic index theorem for Poisson manifolds
V. A. Dolgushev, V. N. Rubtsov
The formality theorem for Hochschild chains of the algebra of functions on a smooth manifold gives us a version of the trace density map from the zeroth Hochschild homology of a de…
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…