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Hyperbolic Manifolds, Harmonic Forms, and Seiberg–Witten Invariants

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Abstract

New estimates are derived concerning the behavior of self-dual harmonic 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.

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Authors and Affiliations

  1. Department of Mathematics, SUNY Stony Brook, NY, 11794, U.S.A.

    Claude LeBrun

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  1. Claude LeBrun
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LeBrun, C. Hyperbolic Manifolds, Harmonic Forms, and Seiberg–Witten Invariants. Geometriae Dedicata 91, 137–154 (2002). https://doi.org/10.1023/A:1016222709901

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