8 papers
Wall-crossing for Hilbert schemes
Ian Cavey, Eugene Gorsky, Alexei Oblomkov +1
The goal of the minimal model program for the Hilbert scheme of points on a surface aims is to describe the (stable) base loci of all divisors, their associated birational models,…
Affine Schubert calculus and double coinvariants
Erik Carlsson, Alexei Oblomkov
We define an action of the double coinvariant algebra on the equivariant Borel-Moore homology of the affine flag variety in type , which has an explici…
A categorification of representations of
Alexei Oblomkov, Lev Rozansky
We categorify the action of on the tensor product of its vector representations . The generators and are represen…
Newton-Okounkov bodies for nested Hilbert schemes
Ian Cavey, Eugene Gorsky, Alexei Oblomkov +1
We study sections of line bundles on the nested Hilbert scheme of points on the affine plane. We describe the spaces of sections in terms of certain ideals introduced by Haiman, an…
Symplectic involutions of type and Kummer type manifolds
Ljudmila Kamenova, Giovanni Mongardi, Alexei Oblomkov
In this paper we describe the fixed locus of a symplectic involution on a hyperkähler manifold of type or of Kummer type. We prove that the fixed locus consists of…
Discriminants and motivic integration
Oscar Kivinen, Alexei Oblomkov, Dimitri Wyss
We study invariants of a plane cuve singularity coming from motivic integration on symmetric powers of a formal deformation of . We show that a natural discriminant inte…