Hyperbolic Manifolds, Harmonic Forms, and Seiberg-Witten Invariants

Details Hyperbolic Manifolds, Harmonic Forms, and Seiberg-Witten Invariants Hyperbolic Manifolds, Harmonic Forms, and Seiberg-Witten Invariants

2001-11-26

arxiv.org/abs/math/0111265v1

Mathematics

Differential Geometry

22 pages, LaTeX2e

Scientific paper

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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