1994/05/01 by Stamatis Dostoglou, Dietmar Salamon · 6 citations
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology
paper · doi:10.2307/2118573
openalex publication_date 1994/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
We prove new adjunction inequalities for embedded surfaces in fourmanifolds with non-negative self-intersection number using the Donaldson invariants.These formulas are completely analogous to the ones obtained by Ozsváth and Szabó [11] using the Seiberg-Witten invariants.To prove these relations, we give a fairly explicit description of the structure of the Fukaya-Floer homology of a surface times a circle.As an aside, we also relate the Floer homology of a surface times a circle with the cohomology of some symmetric products of the surface.