{ "id": "math/0507085", "version": "v4", "published": "2005-07-05T09:28:58.000Z", "updated": "2005-08-29T07:34:03.000Z", "title": "Exotic smooth structures on 3{CP}^2#8{-CP}^2", "authors": [ "Jongil Park" ], "comment": "Minor errors are corrected", "categories": [ "math.GT" ], "abstract": "Motivated by Stipsicz and Szab\\'{o}'s exotic 4-manifolds with b_2^+=3 and b_2^-=8, we construct a family of simply connected smooth 4-manifolds with b_2^+=3 and b_2^-=8. As a corollary, we conclude that the topological 4-manifold 3{CP}^2#8{-CP}^2 admits infinitely many distinct smooth structures.", "revisions": [ { "version": "v4", "updated": "2005-08-29T07:34:03.000Z" } ], "analyses": { "subjects": [ "57R17", "57R57", "57N13" ], "keywords": [ "exotic smooth structures", "distinct smooth structures", "simply connected smooth" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......7085P" } } }