91 citations · 871 across the 69 of their papers we have counts for
66 papers
Hypergeometric integrals, hook formulas and Whittaker vectors
G. Felder, A. Smirnov, V. Tarasov +1
We determine the coefficient of proportionality between two multidimensional hypergeometric integrals. One of them is a solution of the dynamical difference equations associated wi…
Construction of determinants for the six-vertex model with domain wall boundary conditions
Mikhail D. Minin, Andrei G. Pronko, Vitaly O. Tarasov
We consider the problem of construction of determinant formulas for the partition function of the six-vertex model with domain wall boundary conditions. In pioneering works of Kore…
Monodromy of the equivariant quantum differential equation of the cotangent bundle of a Grassmannian
Vitaly Tarasov, Alexander Varchenko
We describe the monodromy of the equivariant quantum differential equation of the cotangent bundle of a Grassmannian in terms of the equivariant K-theory algebra of the cotangent b…
Landau-Ginzburg mirror, quantum differential equations and qKZ difference equations for a partial flag variety
Vitaly Tarasov, Alexander Varchenko
We consider the system of quantum differential equations for a partial flag variety and construct a basis of solutions in the form of multidimensional hypergeometric functions, tha…
Duality for Bethe algebras acting on polynomials in anticommuting variables
V. Tarasov, F. Uvarov
We consider actions of the current Lie algebras and on the space of polynomials in anticommuting variables. The actions depend on…
Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space
Vitaly Tarasov, Alexander Varchenko
We consider the equivariant quantum differential equation for the projective space . We prove an equivariant gamma theorem for , which describes the asymptotics o…