Weakly Lefschetz symplectic manifolds
| dc.creator | Fernandez, Marisa | |
| dc.creator | Munoz, Vicente | |
| dc.creator | Ugarte, Luis | |
| dc.date | 2004-04-27 | |
| dc.date | 2005-02-08 | |
| dc.date.accessioned | 2026-07-07T05:07:44Z | |
| dc.date.available | 2026-07-07T05:07:44Z | |
| dc.description | The harmonic cohomology of a Donaldson symplectic submanifold and of an Auroux symplectic submanifold are compared with that of its ambient space. We also study symplectic manifolds satisfying a weakly Lefschetz property, that is, the $s$-Lefschetz propery. In particular, we consider the symplectic blow-ups of the complex projective space along weakly Lefschetz symplectic submanifolds. As an application we construct, for each even integer $s\geq 2$, compact symplectic manifolds which are $s$-Lefschetz but not $(s+1)$-Lefschetz. | |
| dc.description | 22 pages; many improvements from previous version | |
| dc.identifier | https://arxiv.org/abs/math/0404479 | |
| dc.identifier | http://arxiv.org/abs/math/0404479 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70980 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D05 | |
| dc.title | Weakly Lefschetz symplectic manifolds | |
| dc.type | text |