Donaldson invariants for some glued manifolds

Mathematics – Differential Geometry

Scientific paper

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AMSLaTeX, 18 pages, no figures

Scientific paper

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.

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