19 citations · 38 across the 9 of their papers we have counts for
12 papers
Combinatorial wall-crossing for the sign representation of prime size
Galyna Dobrovolska
We present an algorithm to calculate the result of combinatorial wall-crossing at every step starting with the column partition of prime size. This algorithm is confirmed by comput…
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…
On the structure of the affine asymptotic Hecke algebras
Roman Bezrukavnikov, Stefan Dawydiak, Galyna Dobrovolska
According to a conjecture of Lusztig, the asymptotic affine Hecke algebra should admit a description in terms of the Grothedieck group of sheaves on the square of a finite set equi…
Some remarks on combinatorial wall-crossing
Galyna Dobrovolska
We establish a new simple explicit description of combinatorial wall-crossing for the rational Cherednik algebra applied to the trivial representation. In this way we recover a the…
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…