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Gromov-Witten invariants of the moduli of bundles on a surface by Muñoz, Vicente is a scholarly article available to read on EtoBox.

What is Gromov-Witten invariants of the moduli of bundles on a surface about?

We produce an equality between the Gromov-Witten invariants of the moduli space M of rank two odd degree stable vector bundles over a Riemann surface $\Sigma$ and the Donaldson invariants of the algebraic surface $\Sigma \times P^1$. We discuss on to how extent the Quantum cohomology of M determines its Gromow-Witten invariants. Finally we find the isomorphism between the usual cohomology and the Quantum cohomology for the moduli space M over a Riemann surface of genus g=3.

Author

Muñoz, Vicente

Published

1999

Language

EN