Formality of Donaldson submanifolds
| dc.creator | Fernández, Marisa | |
| dc.creator | Muñoz, Vicente | |
| dc.date | 2002-11-01 | |
| dc.date | 2007-05-21 | |
| dc.date.accessioned | 2026-07-07T08:02:21Z | |
| dc.date.available | 2026-07-07T08:02:21Z | |
| dc.description | We introduce the concept of s-formal minimal model as an extension of formality. We prove that any orientable compact manifold M, of dimension 2n or (2n-1), is formal if and only if M is (n-1)-formal. The formality and the hard Lefschetz property are studied for the symplectic manifolds constructed by Donaldson with asymptotically holomorphic techniques. This study permits us to show an example of a Donaldson symplectic manifold of dimension eight which is formal simply connected and does not satisfy the hard Lefschetz theorem. | |
| dc.description | 24 pages, no figures, Latex2e; v3. statement of Lemma 2.7 corrected | |
| dc.identifier | https://arxiv.org/abs/math/0211017 | |
| dc.identifier | http://arxiv.org/abs/math/0211017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129207 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57R17; 57R19 | |
| dc.title | Formality of Donaldson submanifolds | |
| dc.type | text |