{ "id": "math/0005268", "version": "v1", "published": "2000-05-27T05:34:48.000Z", "updated": "2000-05-27T05:34:48.000Z", "title": "Higher Type Adjunction Inequalities in Seiberg-Witten Theory", "authors": [ "Peter Ozsvath", "Zoltan Szabo" ], "comment": "50 pages, Submitted for publication", "categories": [ "math.DG", "math.AG" ], "abstract": "In this paper, we derive new adjunction inequalities for embedded surfaces with non-negative self-intersection number in four-manifolds. These formulas are proved by using relations between Seiberg-Witten invariants which are induced from embedded surfaces. To prove these relations, we develop the relevant parts of a Floer theory for four-manifolds which bound circle-bundles over Riemann surfaces.", "revisions": [ { "version": "v1", "updated": "2000-05-27T05:34:48.000Z" } ], "analyses": { "subjects": [ "57R57" ], "keywords": [ "higher type adjunction inequalities", "seiberg-witten theory", "embedded surfaces", "bound circle-bundles", "floer theory" ], "note": { "typesetting": "TeX", "pages": 50, "language": "en", "license": "arXiv", "status": "editable", "inspire": 530838, "adsabs": "2000math......5268O" } } }