19 citations · 38 across the 9 of their papers we have counts for
6 papers · 1 filter
Crossingless sheaves and their classes in equivariant K-theory
Galyna Dobrovolska
We introduce crossingless sheaves in certain equivariant derived categories which are analogous to the Bezrukavnikov-Mirkovic exotic sheaves for two-block nilpotents. We calculate…
Finite local systems in the Drinfeld-Laumon construction
Galyna Dobrovolska
Let E be a local system on a smooth projective curve of genus g with monodromy given by a representation of the symmetric group corresponding to a Young diagram with rows of length…
Moduli spaces, indecomposable objects and potentials over a finite field
Galyna Dobrovolska, Victor Ginzburg, Roman Travkin
Given a linear category over a finite field such that the moduli space of its objects is a smooth Artin stack (and some additional conditions) we give formulas for an exponential s…
Towards a cluster structure on trigonometric zastava
Michael Finkelberg, Alexander Kuznetsov, Leonid Rybnikov +1
We study a moduli problem on a nodal curve of arithmetic genus 1, whose solution is an open subscheme in the zastava space for projective line. This moduli space is equipped with a…
Gaiotto-Witten superpotential and Whittaker D-modules on monopoles
Alexander Braverman, Galyna Dobrovolska, Michael Finkelberg
Let be an almost simple simply connected group over complex numbers. For a positive element of the coroot lattice of let denote the space of based maps from the p…
Fourier-Deligne transform and representations of the symmetric group
Galyna Dobrovolska
We calculate the Fourier-Deligne transform of the IC extension to ${\C}^{n+1}$ of the local system on the cone over $\Conf_n(¶^1)$ associated to a representation $…