Parameterized Gromov-Witten invariants and topology of symplectomorphism groups

Abstract

<!-- *** Custom HTML *** --> In this note we introduce parameterized Gromov-Witten invariants for symplectic fiber bundles and study the topology of the symplectomorphism group. We also give sample applications showing the non-triviality of certain homotopy groups of some symplectomorphism groups.