A Floer homology for exact contact embeddings
| dc.creator | Cieliebak, Kai | |
| dc.creator | Frauenfelder, Urs | |
| dc.date | 2007-10-04 | |
| dc.date.accessioned | 2026-07-07T08:34:07Z | |
| dc.date.available | 2026-07-07T08:34:07Z | |
| dc.description | In this paper we construct the Floer homology for an action functional which was introduced by Rabinowitz and prove a vanishing theorem. As an application, we show that there are no displaceable exact contact embeddings of the unit cotangent bundle of a sphere of dimension greater than three into a convex exact symplectic manifold with vanishing first Chern class. This generalizes Gromov's result that there are no exact Lagrangian embeddings of a sphere into a complex vector space. | |
| dc.description | 43 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0710.0972 | |
| dc.identifier | http://arxiv.org/abs/0710.0972 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139326 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D10, 53D40 | |
| dc.title | A Floer homology for exact contact embeddings | |
| dc.type | text |