Constraints for Seiberg-Witten basic classes of glued manifolds

Details Constraints for Seiberg-Witten basic classes of glued manifolds Constraints for Seiberg-Witten basic classes of glued manifolds

1995-11-23

arxiv.org/abs/dg-ga/9511012v1

Mathematics

Differential Geometry

AMSLaTeX, 16 pages, no figures

Scientific paper

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.

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