{ "id": "math/0611411", "version": "v1", "published": "2006-11-14T01:28:12.000Z", "updated": "2006-11-14T01:28:12.000Z", "title": "On the Number of Components of the Symplectic Representatives of the Canonical Class", "authors": [ "Stefano Vidussi" ], "comment": "11 pages, 5 figures. To appear in J.Eur.Math.Soc", "categories": [ "math.GT" ], "abstract": "In this paper we show that there exists a family of simply connected, symplectic 4-manifolds such that the (Poincare dual of the) canonical class admits both connected and disconnected symplectic representatives. This answers a question raised by Fintushel and Stern.", "revisions": [ { "version": "v1", "updated": "2006-11-14T01:28:12.000Z" } ], "analyses": { "subjects": [ "57R17" ], "keywords": [ "components", "disconnected symplectic representatives", "poincare dual", "canonical class admits" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....11411V" } } }