Constraints for Seiberg-Witten basic classes of glued manifolds

1995/11/23 by Vicente Muñoz, Muñoz, Vicente · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Mathematics #Pure mathematics #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9511012

AMSLaTeX, 16 pages, no figures

arxiv created 1995/11/23 · openalex publication_date 1995/11/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We use rudiments of the Seiberg-Witten gluing theory for trivial circle bundles over a Riemann surface to relate de Seiberg-Witten basic classes of two 4-manifolds containing Riemann surfaces of the same genus and self-intersection zero with those of the 4-manifold resulting as a connected sum along the surface. We study examples in which this is enough to describe completely the basic classes.

Cited by

• Notes on Seiberg-Witten Theory

Related

• Gluing formulae for Donaldson invariants for connected sums along surfaces
• Constraints on embedded spheres and real projective planes in 4-manifolds from Seiberg-Witten theory
• Knotted surfaces in 4-manifolds
• Knotted surfaces in 4-manifolds
• Higher Type Adjunction Inequalities in Seiberg-Witten Theory