2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78870We define relative Gromov-Witten invariants of a symplectic manifold relative to a codimension two symplectic submanifold. These invariants are the key ingredients in the symplectic sum formula of [IP4]. The main step is the construction of a compact space of `V-stable' maps. Simple special cases include the Hurwitz numbers for algebraic curves and the enumerative invariants of Caporaso and Harris.AMS-LaTeX, 52 pages published versionSymplectic GeometryAlgebraic GeometryDifferential Geometrytext