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Quantum K-invariants of Grassmannian via Quot scheme

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EMGW05 - Moduli stacks and enumerative geometry

In this talk, we define K-theoretic invariants involving virtual Euler characteristics of sheaves over the Quot schemes of a curve. We show that these invariants naturally fit into a topological quantum field theory valued in $\mathbb{Z}[[q]]$. Additionally, we demonstrate that the genus-0 invariants recover the small quantum K-ring of Grassmannians, providing a novel approach for deriving explicit formulas. By using torus localization on Quot schemes, we derive a Vafa-Intriligator type formula for the quantum K-invariants. This is based on a joint work with Ming Zhang.

This talk is part of the Isaac Newton Institute Seminar Series series.

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