Every contact manifold can be given a non-fillable contact structure
| dc.creator | Niederkrüger, Klaus | |
| dc.creator | van Koert, Otto | |
| dc.date | 2007-02-08 | |
| dc.date.accessioned | 2026-07-07T08:38:13Z | |
| dc.date.available | 2026-07-07T08:38:13Z | |
| dc.description | Recently Francisco Presas Mata constructed the first examples of closed contact manifolds of dimension larger than 3 that contain a plastikstufe, and hence are non-fillable. Using contact surgery on his examples we create on every sphere S^{2n-1}, n>1, an exotic contact structure ξ_- that also contains a plastikstufe. As a consequence, every closed contact manifold M (except S^1) can be converted into a contact manifold that is not (semi-positively) fillable by taking the connected sum of M with (S^{2n-1},ξ_-). | |
| dc.description | 15 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0702228 | |
| dc.identifier | http://arxiv.org/abs/math/0702228 | |
| dc.identifier | Improved version in Int. Math. Res. Not. 2007 | |
| dc.identifier | doi:10.1093/imrn/rnm115 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140650 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53D35; 57R17 | |
| dc.title | Every contact manifold can be given a non-fillable contact structure | |
| dc.type | text |