2026/07/01 by Shubham Sinha, Ming Zhang
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons
paper · doi:10.1112/jlms.70623
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.