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Hyperbolic manifolds, harmonic forms, and Seiberg-Witten invariants

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11 Scopus citations

Abstract

New estimates are derived concerning the behavior of self-dual hamonic 2-forms on a compact Riemannian 4-manifold with nontrivial Seiberg-Witten invariants. Applications include a vanishing theorem for certain Seiberg-Witten invariants on compact 4-manifolds of constant negative sectional curvature.

Original languageEnglish
Pages (from-to)137-154
Number of pages18
JournalGeometriae Dedicata
Volume91
Issue number1
DOIs
StatePublished - 2002

Keywords

  • Anti-self-dual
  • Einstein
  • Harmonic 2-form
  • Seiberg-Witten

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