2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69964We study the invariants of surfaces in 4-manifolds extracted from the Seiberg-Witten and the Ozsvath-Szabo invariants of their fiber sums with auxiliary Lefschetz fibrations. Such invariants involve relative Spin_c structures and can be treated as refinements of the usual Seiberg-Witten and Ozsvath-Szabo invariants. We prove for instance the adjunction inequality for membranes, which estimates their genus.18 pages, 1 figure, editing: a few improvements, more detailed proofs in section 3Geometric TopologySymplectic Geometry57Mtext