2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59296In this paper, we derive new adjunction inequalities for embedded surfaces with non-negative self-intersection number in four-manifolds. These formulas are proved by using relations between Seiberg-Witten invariants which are induced from embedded surfaces. To prove these relations, we develop the relevant parts of a Floer theory for four-manifolds which bound circle-bundles over Riemann surfaces.50 pages, Submitted for publicationDifferential GeometryAlgebraic Geometry57R57text