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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.AG2026
Derived categories of Quot schemes on smooth curves and tautological bundles
Alina Marian, Andrei Neguţ
We define a categorical action of the shifted quantum loop group of on the derived categories of Quot schemes of finite length quotient sheaves on a smooth projec…
math.AG2024
Rational, trigonometric, elliptic algebras and moduli spaces of sheaves on surfaces
Andrei Neguţ
We survey the well-known Yangian of /quantum toroidal action on the cohomology / -theory of moduli spaces of stable sheaves on surf…