125 citations · 262 across the 20 of their papers we have counts for
24 papers
The cohomology of the Quot scheme on a smooth curve as a Yangian representation
Alina Marian, Andrei Neguţ
We describe the action of the shifted Yangian of sl_2 on the cohomology groups of the Quot schemes of 0-dimensional quotients on a smooth projective curve. We introduce a commuting…
On the cohomology of tautological bundles over Quot schemes of curves
Alina Marian, Dragos Oprea, Steven V Sam
We consider tautological bundles and their exterior and symmetric powers on the Quot scheme over the projective line. We prove and conjecture several statements regarding the vanis…
The Segre-Verlinde correspondence for the moduli space of stable bundles on a curve
Alina Marian
We show that the classic Verlinde numbers on the moduli space of semistable vector bundles on a smooth projective curve can also be regarded as Segre numbers of natural universal c…
On product identities and the Chow rings of holomorphic symplectic varieties
Ignacio Barros, Laure Flapan, Alina Marian +1
For a moduli space of stable sheaves over a surface , we propose a series of conjectural identities in the Chow rings gener…
Higher rank Segre integrals over the Hilbert scheme of points
Alina Marian, Dragos Oprea, Rahul Pandharipande
Let S be a nonsingular projective surface. Each vector bundle V on S of rank s induces a tautological vector bundle over the Hilbert scheme of n points of S. When s=1, the top Segr…
On the group of zero-cycles of holomorphic symplectic varieties
Alina Marian, Xiaolei Zhao
For a moduli space of Bridgeland-stable objects on a K3 surface, we show that the Chow class of a point is determined by the Chern class of the corresponding object on the surface.…