49 citations · 87 across the 5 of their papers we have counts for
5 papers
Microlocal index theorems and analytic torsion invariants in the geometric theory of partial differential equations
Jacob Kryczka, Vladimir Rubtsov, Artan Sheshmani +1
We develop a microlocal and derived-geometric framework for index theory and analytic torsion of nonlinear PDEs. By integrating Spencer hypercohomology, microlocal sheaf theory, an…
SOS model partition function and the elliptic weight functions
S. Pakuliak, V. Rubtsov, A. Silantyev
We generalize a recent observation [arXiv:math/0610433] that the partition function of the 6-vertex model with domain-wall boundary conditions can be obtained by computing the proj…
Integrable systems associated with elliptic algebras
A. Odesskii, V. Rubtsov
We construct some new Integrable Systems (IS) both classical and quantum associated with elliptic algebras. Our constructions are partly based on the algebraic integrability mechan…
Double Elliptic Dynamical Systems From Generalized Mukai - Sklyanin Algebras
H. Braden, A. Gorsky, A. Odesskii +1
We consider the double-elliptic generalisation of dynamical systems of Calogero-Toda-Ruijsenaars type using finite-dimensional Mukai-Sklyanin algebras. The two-body system, which i…
Polynomilal Poisson algebras with regular structure of symplectic leaves
A. Odesskii, V. Rubtsov
We study polynomial Poisson algebras with some regularity conditions. Linear (Lie-Berezin-Kirillov) structures on dual spaces of semi-simple Lie algebras, quadratic Sklyanin ellipt…