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Hyperbolic Manifolds, Harmonic Forms, and Seiberg-Witten Invariants

Claude LeBrun
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Abstract

New estimates are derived concerning the behavior of self-dual hamonic 2-forms on a compact Riemannian 4-manifold with non-trivial 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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Claude LeBrun. 2001-11-26. Hyperbolic Manifolds, Harmonic Forms, and Seiberg-Witten Invariants. https://arxiv.org/abs/math/0111265

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