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Hyperbolic Manifolds, Harmonic Forms, and Seiberg–Witten Invariants
Authors:Claude LeBrun
Institution:(1) Department of Mathematics, SUNY Stony Brook, NY, 11794, U.S.A.
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.
Keywords:anti-self-dual  Einstein  Seiberg–  Witten  harmonic 2-form
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