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arxiv: math/0611769 · v2 · pith:UXYNRMSOnew · submitted 2006-11-25 · 🧮 math.DG · math.AG

Scalar Curvature and Connected Sums Of Self-Dual 4-Manifolds

classification 🧮 math.DG math.AG
keywords self-dualconnectedcurvaturemanifoldsscalarcasedonaldsonextended
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Under a vanishing hypothesis, Donaldson and Friedman proved that the connected sum of two self-dual Riemannian 4-Manifolds is again self-dual. Here we prove that the same result can be extended over to the positive scalar curvature case.

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