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Towards a Schubert calculus for maps from a Riemann surface to a Grassmannian

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arxiv alg-geom/9403007 v1 pith:XVON3K45 submitted 1994-03-10 alg-geom math.AG

Aaron Bertram This is my paper · ORCID
classification alg-geommath.AG
keywords agreecitegrassmanniangromovmapsriemannsurfaceassociated
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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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  1. A Vafa-Intriligator formula for semi-positive quotients of linear spaces

    math.AG 2025-05 conditional novelty 5.0 of 10

    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.

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