34 citations · 62 across the 13 of their papers we have counts for
13 papers
Comparison of quiver varieties, loop Grassmannians and nilpotent cones in type A
Ivan Mirkovic, Maxim Vybornov
In type A we find equivalences of geometries arising in three settings: Nakajima's (``framed'') quiver varieties, conjugacy classes of matrices and loop Grassmannians. These are no…
Quiver varieties and Beilinson-Drinfeld Grassmannians of type A
Ivan Mirković, Maxim Vybornov
We construct Nakajima's quiver varieties of type A in terms of conjugacy classes of matrices and (non-Slodowy's) transverse slices naturally arising from affine Grassmannians. In f…
Relation between two geometrically defined bases in representations of
Alexander Braverman, Dennis Gaitsgory, Maxim Vybornov
Let be an irreducible representation of group , which appears as a submodule in , where is the tautological -…
Quiver varieties and Lusztig's algebra
Anton Malkin, Victor Ostrik, Maxim Vybornov
We study preprojective algebras of graphs and their relationship to module categories over representations of quantum SL(2). As an application, ADE quiver varieties of Nakajima are…
Perverse sheaves, Koszul IC-modules, and the quiver for the category O
Maxim Vybornov
For a stratified topological space we introduce the category of IC-modules, which are linear algebra devices with the relations described by the equation d^2=0. We prove that the c…
The minimal degeneration singularities in the affine Grassmannians
Anton Malkin, Viktor Ostrik, Maxim Vybornov
The minimal degeneration singularities in the affine Grassmannians of simple simply-laced algebraic groups are determined to be either Kleinian singularities of type A, or closures…