{ "id": "math/0701043", "version": "v1", "published": "2007-01-01T21:16:25.000Z", "updated": "2007-01-01T21:16:25.000Z", "title": "Surgery on nullhomologous tori and simply connected 4-manifolds with b^+=1", "authors": [ "Ronald Fintushel", "Ronald J. Stern" ], "comment": "16 pages, 9 figures", "categories": [ "math.GT", "math.SG" ], "abstract": "For 5 <= k <= 8 we show that the infinite family of exotic smooth structures on CP^2# k(-CP^2) can be achieved by 1/n - surgeries on a single embedded nullhomologous torus in a manifold R_k which is homeomorphic to CP^2# k(-CP^2).", "revisions": [ { "version": "v1", "updated": "2007-01-01T21:16:25.000Z" } ], "analyses": { "subjects": [ "57R55", "57R57" ], "keywords": [ "exotic smooth structures", "single embedded nullhomologous torus", "homeomorphic" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......1043F" } } }