3 papers
math.AG2023
Intersection cohomology of type-A toric varieties
Andras Szenes, Olga Trapeznikova
Type-A toric varieties may be obtained as GIT quotients with respect to a torus action with weights corresponding to roots of the group for some . These varieties appe…
math.AG2022
Tautological bundles on parabolic moduli spaces: Euler characteristics and Hecke correspondences
Olga Trapeznikova
We calculate the Euler characteristic of associated vector bundles over the moduli spaces of stable parabolic bundles on smooth curves. Our method is based on a wall-crossing techn…
math.AG2021
The parabolic Verlinde formula: iterated residues and wall-crossings
Andras Szenes, Olga Trapeznikova
We give a new proof for the parabolic Verlinde formula in all ranks based on a comparison of wall-crossings in Geometric Invariant Theory and certain iterated residue functionals.…