101 citations · 190 across the 8 of their papers we have counts for
9 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…
Polynomial superpotential for Grassmannian from a limit of vertex function
Andrey Smirnov, Alexander Varchenko
In this note we discuss an integral representation for the vertex function of the cotangent bundle over the Grassmannian, . This integral representation can be use…
Construction of exact solutions to the Ruijsenaars-Toda lattice via generalized invariant manifolds
I. T. Habibullin, A. R. Khakimova, A. O. Smirnov
The article discusses a new method for constructing algebro-geometric solutions of nonlinear integrable lattices, based on the concept of a generalized invariant manifold (GIM). In…
Polynomials associated with fixed points on the instanton moduli space
Andrey Smirnov
Using the Okounkov-Maulik stable map, we identify the equivariant cohomology of instanton moduli spaces with the space of polynomials on an infinite number of variables. We define…
On the Instanton R-matrix
Andrey Smirnov
A torus action on a symplectic variety allows one to construct solutions to the quantum Yang-Baxter equations (R-matrices). For a torus action on cotangent bundles over flag variet…
Kontsevich integral for knots and Vassiliev invariants
Petr Dunin-Barkowski, Alexey Sleptsov, Andrey Smirnov
We review quantum field theory approach to the knot theory. Using holomorphic gauge we obtain the Kontsevich integral. It is explained how to calculate Vassiliev invariants and coe…