21 citations · 73 across the 20 of their papers we have counts for
8 papers · 1 filter
Motivic decompositions for the Hilbert scheme of points of a K3 surface
Andrei Neguţ, Georg Oberdieck, Qizheng Yin
We construct an explicit, multiplicative Chow-Künneth decomposition for the Hilbert scheme of points of a K3 surface. We further refine this decomposition with respect to the actio…
Lehn's formula in Chow and Conjectures of Beauville and Voisin
Davesh Maulik, Andrei Neguţ
The Beauville-Voisin conjecture for a hyperkähler manifold X states that the subring of the Chow ring A^*(X) generated by divisor classes and Chern characters of the tangent bundle…
Hecke correspondences for smooth moduli spaces of sheaves
Andrei Neguţ
We define functors on the derived category of the moduli space M of stable sheaves on a smooth projective surface (under Assumptions A and S below), and prove that these functors s…
Infinitesimal change of stable basis
Eugene Gorsky, Andrei Neguţ
The purpose of this note is to study the Maulik-Okounkov theoretic stable basis for the Hilbert scheme of points on the plane, which depends on a "slope" . Wh…
Moduli of Flags of Sheaves and their K-theory
Andrei Negut
We introduce moduli spaces of flags of sheaves on P^2, and use them to obtain functors between the derived categories of the usual moduli spaces of sheaves on P^2. These functors i…
Push-Forwards on Projective Towers
Andrei Negut
In this paper we derive a simple and useful combinatorial formula for the push-forwards of cohomology classes down projective towers, in terms of the push-forwards down the individ…
Yangians and cohomology rings of Laumon spaces
Boris Feigin, Michael Finkelberg, Andrei Negut +1
Laumon moduli spaces are certain smooth closures of the moduli spaces of maps from the projective line to the flag variety of . We construct the action of the Yangian of $sl_…
Laumon Spaces and the Calogero-Sutherland Integrable System
Andrei Negut
This paper contains a proof of a conjecture of Braverman concerning Laumon quasiflag spaces. We consider the generating function Z(m), whose coefficients are the integrals of the e…