Communications in Analysis and Geometry

Volume 11 (2003)

Number 5

Curvature, Connected Sums, and Seiberg-Witten Theory

Pages: 809 – 836



Masashi Ishida

Claude LeBrun


We consider several differential-topological invariants of compact 4-manifolds which directly arise from Riemannian variational problems. Using recent results of Bauer and Furuta [5, 4], we compute these invariants in many cases that were previously intractable. In particular, we are now able to calculate the Yamabe invariant for many connected sums of complex surfaces.

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