403 citations · 1.5k across the 66 of their papers we have counts for
23 papers · 1 filter
Gaiotto's Lagrangian subvarieties via derived symplectic geometry
Victor Ginzburg, Nick Rozenblyum
Let Bun_G be the moduli space of G-bundles on a smooth complex projective curve. Motivated by a study of boundary conditions in mirror symmetry, D. Gaiotto associated to any symple…
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…
-action on Hilbert schemes and Calogero-Moser spaces
Gwyn Bellamy, Victor Ginzburg
We study the natural -action on the Hilbert scheme of points in the plane, resp. -action on the Calogero-Moser space. We describe the closure of the -orbit, resp.…
Intersection cohomology of the Uhlenbeck compactification of the Calogero-Moser space
Michael Finkelberg, Victor Ginzburg, Andrei Ionov +1
We study the natural Gieseker and Uhlenbeck compactifications of the rational Calogero-Moser phase space. The Gieseker compactification is smooth and provides a small resolution of…
Quantization of line bundles on Lagrangian subvarieties
Vladimir Baranovsky, Victor Ginzburg, Dmitry Kaledin +1
We apply the technique of formal geometry to give a necessary and sufficient condition for a line bundle supported on a smooth Lagrangian subvariety to deform to a sheaf of modules…
Isospectral commuting variety, the Harish-Chandra D-module, and principal nilpotent pairs
Victor Ginzburg
Let g be a complex reductive Lie algebra with Cartan algebra h. Hotta and Kashiwara defined a holonomic D-module M, on g x h, called Harish-Chandra module. We relate gr(M), an asso…