2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65118The usual Gromov-Witten invariants are zero for Kähler surfaces with $p_g\geq 1$. In this paper we use analytic methods to define Family Gromov-Witten Invariants for Kähler surfaces. We prove that these are well-defined invariants of the deformation class of the Kähler structure.Symplectic GeometryAlgebraic Geometry53D45text