4 papers
Dynamical Bethe algebra and functions on pairs of quasi-polynomials
A. Slinkin, D. Thompson, A. Varchenko
We consider the space of functions on the Cartan subalgebra of with values in the zero weight subspace of a tensor product of ir…
Hypergeometric Integrals Modulo and Hasse--Witt Matrices
Alexey Slinkin, Alexander Varchenko
We consider the KZ differential equations over in the case, when the hypergeometric solutions are one-dimensional integrals. We also consider the same differential equa…
Twisted de Rham Complex on Line and Singular Vectors in Verma Modules
Alexey Slinkin, Alexander Varchenko
We consider two complexes. The first complex is the twisted de Rham complex of scalar meromorphic differential forms on projective line, holomorphic on the complement to a finite s…
Bethe subalgebras in Braided Yangians and Gaudin-type models
Dimitri Gurevich, Pavel Saponov, Alexei Slinkin
In \cite{GS1} the notion of braided Yangians of Reflection Equation type was introduced. Each of these algebras is associated with an involutive or Hecke symmetry . Besides, the…