3 papers
math.AG2026
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…
math.AG2025
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…
math.AG2024
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…