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math.AG2022
Euler characteristics of tautological bundles over Quot schemes of curves
Dragos Oprea, Shubham Sinha
We compute the Euler characteristics of tautological vector bundles and their exterior powers over the Quot schemes of curves. We give closed-form expressions over punctual Quot sc…
math.AG2021
The virtual intersection theory of isotropic Quot Schemes
Shubham Sinha
Isotropic Quot schemes parameterize rank isotropic subsheaves of a vector bundle equipped with symplectic or symmetric quadratic form. We define a virtual fundamental class for…