Symplectic tori in rational elliptic surfaces
| dc.creator | Etgü, Tolga | |
| dc.creator | Park, B. Doug | |
| dc.date | 2003-08-28 | |
| dc.date.accessioned | 2026-07-07T06:26:00Z | |
| dc.date.available | 2026-07-07T06:26:00Z | |
| dc.description | Let E(1)_p denote the rational elliptic surface with a single multiple fiber f_p of multiplicity p. We construct an infinite family of homologous non-isotopic symplectic tori representing the primitive class [f_p] in E(1)_p when p>1. As a consequence, we get infinitely many non-isotopic symplectic tori in the fiber class of the rational elliptic surface E(1) (complex projective plane blown-up at nine branch points of a generic pencil of cubic curves). We also show how these tori can be non-isotopically and symplectically embedded in many other symplectic 4-manifolds. | |
| dc.description | 8 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0308276 | |
| dc.identifier | http://arxiv.org/abs/math/0308276 | |
| dc.identifier | Math. Ann. 334 (2006), 679-691 | |
| dc.identifier | doi:10.1007/s00208-005-0724-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96989 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R17, 57R57 (primary) 53D35, 57R95 (secondary) | |
| dc.title | Symplectic tori in rational elliptic surfaces | |
| dc.type | text |