33 citations · 40 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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…
Uhlenbeck spaces for and affine Lie algebra
Michael Finkelberg, Dennis Gaitsgory, Alexander Kuznetsov
We introduce an Uhlenbeck closure of the space of based maps from projective line to the Kashiwara flag scheme of an untwisted affine Lie algebra. For the algebra this…
Parabolic sheaves on surfaces and affine Lie algebra
Michael Finkelberg, Alexander Kuznetsov
We give an example of geometric construction (via Hecke correspondences) of certain representations of the affine Lie algebra . The construction is similar to the one o…
A note on the symplectic structure on the space of G-monopoles
Michael Finkelberg, Alexander Kuznetsov, Nikita Markarian +1
Let be a semisimple complex Lie group with a Borel subgroup . Let be the flag manifold of . Let be the projective line. Let $α\in H_2(X,{\Bbb Z})…