Strong fillability and the Weinstein conjecture
| dc.creator | Zehmisch, Kai | |
| dc.date | 2004-05-11 | |
| dc.date | 2005-04-08 | |
| dc.date.accessioned | 2026-07-07T05:08:09Z | |
| dc.date.available | 2026-07-07T05:08:09Z | |
| dc.description | Extending work of Chen, we prove the Weinstein conjecture in dimension three for strongly fillable contact structures with either non-vanishing first Chern class or with strong and exact filling having non-trivial canonical bundle. This implies the Weinstein conjecture for certain Stein fillable contact structures obtained by the Eliashberg-Gompf construction.For example we prove the Weinstein conjecture for the Brieskorn homology spheres $Σ(2,3,6n-1)$, $n\geq2$, oriented as the boundary of the corresponding Milnor fibre. Furthermore, for tight contact structures on odd lens spaces, non-contractible closed Reeb orbits are found. | |
| dc.description | 16 pages, latex2e, no figures, This third version coincides with the second one up to the following generalisation: The Weinstein conjecture holds true for the positively oriented Brieskorn homology spheres $Σ(2,3,6n-1)$, $n\geq2$ | |
| dc.identifier | https://arxiv.org/abs/math/0405203 | |
| dc.identifier | http://arxiv.org/abs/math/0405203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71144 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53D35, 37J45 | |
| dc.title | Strong fillability and the Weinstein conjecture | |
| dc.type | text |