Alexander Varchenko

activity

20102025

most citedTrigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety

53 citations · 61 across the 10 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math-ph2023

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…

math-ph2023

Polynomial superpotential for Grassmannian $G r (k, n)$ 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, $X = T^{*} G r (k, n)$ . This integral representation can be use…

math-ph2023★ 2 cited

The p-adic approximations of vertex functions via 3D-mirror symmetry

Andrey Smirnov, Alexander Varchenko

Using the $3 D$ mirror symmetry we construct a system of polynomials $T_{s} (z)$ with integral coefficients which solve the quantum differential equitation of $X = T^{*} G r (k, n)$ modulo…

Hypergeometric integrals, hook formulas and Whittaker vectors

Polynomial superpotential for Grassmannian Gr(k,n) from a limit of vertex function

The p-adic approximations of vertex functions via 3D-mirror symmetry

Polynomial superpotential for Grassmannian $G r (k, n)$ from a limit of vertex function