{ "id": "math/0111265", "version": "v1", "published": "2001-11-26T18:03:23.000Z", "updated": "2001-11-26T18:03:23.000Z", "title": "Hyperbolic Manifolds, Harmonic Forms, and Seiberg-Witten Invariants", "authors": [ "Claude LeBrun" ], "comment": "22 pages, LaTeX2e", "categories": [ "math.DG", "math.GT" ], "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.", "revisions": [ { "version": "v1", "updated": "2001-11-26T18:03:23.000Z" } ], "analyses": { "subjects": [ "53C21", "57R57" ], "keywords": [ "harmonic forms", "hyperbolic manifolds", "constant negative sectional curvature", "non-trivial seiberg-witten invariants", "compact riemannian" ], "note": { "typesetting": "LaTeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math.....11265L" } } }