Curvature, connected sums, and Seiberg-Witten theory

Masashi Ishida, Claude LeBrun

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)809-836
Number of pages28
JournalCommunications in Analysis and Geometry
Volume11
Issue number5
DOIs
Publication statusPublished - 2003 Dec

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Geometry and Topology
  • Statistics, Probability and Uncertainty

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