Double node neighborhoods and families of simply connected 4-manifolds with b^+=1
| dc.creator | Fintushel, Ronald | |
| dc.creator | Stern, Ronald J. | |
| dc.date | 2004-12-07 | |
| dc.date | 2005-01-18 | |
| dc.date.accessioned | 2026-07-07T05:15:00Z | |
| dc.date.available | 2026-07-07T05:15:00Z | |
| dc.description | We introduce a new technique that is used to show that the complex projective plane blown up at 6, 7, or 8 points has infinitely many distinct smooth structures. None of these smooth structures admit smoothly embedded spheres with self-intersection -1, i.e. they are minimal. In addition, none these smooth structures admit an underlying symplectic structure. Shortly after the appearance of a preliminary version of this article, Park, Stipsicz, and Szabo used the techniques described herein to show that the complex projective plane blown up at 5 points has infinitely many distinct smooth structures. In the final section of this paper we give a somewhat different construction of such a family of examples. | |
| dc.description | 11 pages, More typos and minor errors corrected | |
| dc.identifier | https://arxiv.org/abs/math/0412126 | |
| dc.identifier | http://arxiv.org/abs/math/0412126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73501 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 14J26, 53D05, 57R55, 57R57 | |
| dc.title | Double node neighborhoods and families of simply connected 4-manifolds with b^+=1 | |
| dc.type | text |