Hyperbolic Manifolds, Harmonic Forms, and Seiberg-Witten Invariants
Differential Geometry
2007-05-23 v1 Geometric Topology
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.
Cite
@article{arxiv.math/0111265,
title = {Hyperbolic Manifolds, Harmonic Forms, and Seiberg-Witten Invariants},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:math/0111265},
year = {2007}
}
Comments
22 pages, LaTeX2e