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

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.

18 pages, LaTeX

References in corpus (3)

• The Verlinde Algebra And The Cohomology Of The Grassmannian
• Degree of the generalized Plücker embedding of a Quot scheme and Quantum cohomology
• Gromov Invariants for Holomorphic Maps from Riemann Surfaces to Grassmannians

Cited by in corpus (1)

• Quantum and Floer cohomology have the same ring structure