3 citations · 3 across the 4 of their papers we have counts for
4 papers
Vershik-Kerov in higher times
Andrei Grekov, Nikita Nekrasov
Several generalizations of Vershik-Kerov limit shape problem are motivated by topological string theory and supersymmetric gauge theory instanton count. In this paper specifically…
Classical elliptic integrable systems from the moduli space of instantons
Andrei Grekov
This paper is intended to serve as a review of a series of papers with Nikita Nekrasov, where we achieved several important results concerning the relation between the moduli space…
Noncommutative Jacobi identity, and gauge theory
Andrei Grekov, Nikita Nekrasov
We prove the noncommutative analogue of Jacobi triple product identity. As an application we organizing the q-characters of circular quiver gauge theories into an infinite product.…
Elliptic Calogero-Moser system, crossed and folded instantons, and bilinear identities
Andrei Grekov, Nikita Nekrasov
Affine analogues of the Q-functions are constructed using folded instantons partition functions. They are shown to be the solutions of the quantum spectral curve of the N-body elli…