Curvature, Connected Sums, and Seiberg-Witten Theory

Details Curvature, Connected Sums, and Seiberg-Witten Theory Curvature, Connected Sums, and Seiberg-Witten Theory

2001-11-20

arxiv.org/abs/math/0111228v2

Mathematics

Differential Geometry

29 pages, LaTeX2e. Final version, to appear in Communications in Analysis and Geometry. Additions include expanded discussion

Scientific paper

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

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