Andrey Smirnov

collaborators

3 papers

math.NT2025

Dwork congruences via q-deformation

Pavan Kartik, Andrey Smirnov

We consider a system of polynomials $T_{s} (z, q) \in Z [z, q]$ which appear as truncations of the K-theoretic vertex function for the cotangent bundles over Grassmannians $T^{*…

math.AG2024

On the Quantum K-theory of Quiver Varieties at Roots of Unity

Peter Koroteev, Andrey Smirnov

Let $Ψ (z, a, q)$ a the fundamental solution matrix of the quantum difference equation of a Nakajima variety $X$ . In this work, we prove that the operator $$ Ψ(\text…

math.NT2024

Frobenius intertwiners for q-difference equations

Andrey Smirnov

We consider a class of $q$ -hypergeometric equations describing the quantum difference equation for the cotangent bundles over projective spaces $X = T^{*} P^{n - 1}$ . We show…