The paper proves Vafa-Intriligator formulas for genus zero quasimap invariants of smooth semi-positive GIT quotients V//G by reducing them to toric computations via abelianization.
Towards a Schubert calculus for maps from a Riemann surface to a Grassmannian
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abstract
The intuitive notion of the Gromov invariant for maps from a Riemann surface to a Grassmannian is shown to agree with the definition in \cite{BDW}. Also, an induction on the genus is proved, which extends the results of \cite{BDW} to a computation of all Gromov invariants associated to G(2,k). This is shown to agree with the conjectured formula of Vafa and Intriligator.
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A Vafa-Intriligator formula for semi-positive quotients of linear spaces
The paper proves Vafa-Intriligator formulas for genus zero quasimap invariants of smooth semi-positive GIT quotients V//G by reducing them to toric computations via abelianization.