J un 2 00 3 Curvature , Connected Sums , and Seiberg - Witten Theory

نویسندگان

  • Masashi Ishida
  • Claude LeBrun
چکیده

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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We consider several differential-topological invariants of compact 4-manifolds which arise directly 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 certain connected sums of complex surfaces.

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تاریخ انتشار 2008