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Vicente Muñoz

Publications and source records attributed to Vicente Muñoz.

92 records · Page 6Linked to original sources

Constraints for Seiberg-Witten basic classes of glued manifolds

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.

dg-ga↗

Donaldson invariants for some glued manifolds

We prove that every suitable $4$-manifold with $b_1=0$ and with an embedded Riemann surface of genus $2$ is of simple type. We find a relationship between the basic classes of two of these $4$-manifolds and those of the connected sum along the Riemann surface.

dg-ga↗