Formality of Donaldson submanifolds
| dc.contributor.author | Fernández, Marisa | |
| dc.contributor.author | Muñoz, Vicente | |
| dc.date.accessioned | 2023-06-20T10:34:21Z | |
| dc.date.available | 2023-06-20T10:34:21Z | |
| dc.date.issued | 2005 | |
| dc.description.abstract | 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 Donaldson submanifolds of symplectic manifolds constructed in [13]. This study permits us to show an example of a Donaldson symplectic submanifold of dimension eight which is formal simply connected and does not satisfy the hard Lefschetz theorem. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGICYT | |
| dc.description.sponsorship | European Contract Human Potential Programme,Research Training Network | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21034 | |
| dc.identifier.doi | 10.1007/s00209-004-0747-8 | |
| dc.identifier.issn | 0025-5874 | |
| dc.identifier.officialurl | http://link.springer.com/content/pdf/10.1007%2Fs00209-004-0747-8.pdf | |
| dc.identifier.relatedurl | http://link.springer.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50590 | |
| dc.issue.number | 1 | |
| dc.journal.title | Mathematische Zeitschrift | |
| dc.language.iso | eng | |
| dc.page.final | 175 | |
| dc.page.initial | 149 | |
| dc.publisher | Springer | |
| dc.relation.projectID | Project PB-97-0504-C02-01/02 | |
| dc.relation.projectID | BFM2001-3778-C03-02 | |
| dc.relation.projectID | BFM2000-0024. | |
| dc.relation.projectID | HPRN-CT-2000-00101 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 51 | |
| dc.subject.ucm | Matemáticas (Matemáticas) | |
| dc.subject.unesco | 12 Matemáticas | |
| dc.title | Formality of Donaldson submanifolds | |
| dc.type | journal article | |
| dc.volume.number | 250 | |
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| dspace.entity.type | Publication |
