50 citations · 319 across the 22 of their papers we have counts for
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- 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…
Quantum difference equation for Nakajima varieties
Andrei Okounkov, Andrey Smirnov
For an arbitrary Nakajima quiver variety , we construct an analog of the quantum dynamical Weyl group acting in its equivariant K-theory. The correct generalization of the Weyl…
Characteristic Classes of SL(N)-Bundles and Quantum Dynamical Elliptic R-Matrices
A. Levin, M. Olshanetsky, A. Smirnov +1
We discuss quantum dynamical elliptic R-matrices related to arbitrary complex simple Lie group G. They generalize the known vertex and dynamical R-matrices and play an intermediate…
Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles
Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov +1
We describe new families of the Knizhnik-Zamolodchikov-Bernard (KZB) equations related to the WZW-theory corresponding to the adjoint -bundles of different topological types ove…
Characteristic Classes and Integrable Systems for Simple Lie Groups
A. Levin, M. Olshanetsky, A. Smirnov +1
This paper is a continuation of our previous paper \cite{LOSZ}. For simple complex Lie groups with non-trivial center, i.e. classical simply-connected groups, and we co…