2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169905In 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.23 pages, final versionSymplectic Geometry53D45Parameterized Gromov-Witten invariants and topology of symplectomorphism groupstext