33 citations · 103 across the 14 of their papers we have counts for
15 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…
Loop Grassmannians of quivers and affine quantum groups
Ivan Mirkovic, Yaping Yang, Gufang Zhao
We construct for each choice of a quiver , a cohomology theory and a poset a "loop Grassmannian" . This generalizes loop Grassmannians of semisimple…
Linear Koszul duality and Fourier transform for convolution algebras
Ivan Mirkovic, Simon Riche
In this paper we prove that the linear Koszul duality isomorphism for convolution algebras in K-homology defined in a previous paper and the Fourier transform isomorphism for convo…
Stability conditions for Slodowy slices and real variations of stability
Rina Anno, Roman Bezrukavnikov, Ivan Mirkovic
We provide examples of an explicit submanifold in Bridgeland stabilities space of a local Calabi-Yau, and propose a new variant of definition of stabilities on a triangulated categ…
Representations of semisimple Lie algebras in prime characteristic and noncommutative Springer resolution
Roman Bezrukavnikov, Ivan Mirkovic, with an Appendix by Eric Sommers
We prove most of Lusztig's conjectures from the paper "Bases in equivariant K-theory II", including the existence of a canonical basis in the Grothendieck group of a Springer fiber…
Singular localization and intertwining functors for reductive Lie algebras in prime characteristic
Roman Bezrukavnikov, Ivan Mirkovic, Dmitry Rumynin
In math.RT/0205144 we observed that, on the level of derived categories, representations of the Lie algebra of a semisimple algebraic group over a field of finite characteristic wi…