50 citations · 319 across the 22 of their papers we have counts for
23 papers
- Coulomb branches over finite fields and Selberg Character sums
Junzhe Lyu, Andrey Smirnov
Motivated by mirror symmetry, we study exponential sums over the -points of the Coulomb branch. We show that their fiberwise structure is governed by polynomial…
The p-adic approximations of vertex functions via 3D-mirror symmetry
Andrey Smirnov, Alexander Varchenko
Using the mirror symmetry we construct a system of polynomials with integral coefficients which solve the quantum differential equitation of modulo…
Euler characteristic of stable envelopes
Hunter Dinkins, Andrey Smirnov
In this paper we prove a formula relating the equivariant Euler characteristic of -theoretic stable envelopes to an object known as the index vertex for the cotangent bundle of…
Quantum differential and difference equations for
Andrey Smirnov
We consider the quantum difference equation of the Hilbert scheme of points in . This equation is the K-theoretic generalization of the quantum differential equation…
Pursuing quantum difference equations II: 3D-mirror symmetry
Yakov Kononov, Andrey Smirnov
Consider a pair of symplectic varieties dual with respect to 3D-mirror symmetry. The K-theoretic limit of the elliptic duality interface is an equivariant K-theory class of the pro…
3d Mirror Symmetry and Quantum -theory of Hypertoric Varieties
Andrey Smirnov, Zijun Zhou
Following the idea of Aganagic--Okounkov \cite{AOelliptic}, we study vertex functions for hypertoric varieties, defined by -theoretic counting of quasimaps from .…