Quantum K‐invariants via Quot schemes II

Abstract

We derive a ‐theoretic analog of the Vafa–Intriligator formula, computing the (virtual) Euler characteristics of vector bundles over the Quot scheme that compactifies the space of degree morphisms from a fixed projective curve to the Grassmannian . As an application, we deduce interesting vanishing results, used in our previous work to study the quantum ‐ring of . In the genus‐zero case, we prove a simplified formula involving Schur functions, consistent with the Borel–Weil–Bott theorem in the degree‐zero setting. These new formulas offer a novel approach for computing the structure constants of quantum ‐products.