2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61926In this paper we set up the family Seiberg-Witten theory. It can be applied to the counting of nodal pseudo-holomorphic curves in a symplectic 4-manifold (especially a Kahler surface). A new feature in this theory is that the chamber structure plays a more prominent role. We derive some wall crossing formulas measuring how the family Seiberg-Witten invariants change from one chamber to another.46 pages Typos corrected, references updated, Theorem 2.2 made more preciseGeometric TopologySymplectic Geometrytext