Weakly Lefschetz symplectic manifolds.
For a symplectic manifold, the harmonic cohomology of symplectic divisors (introduced by Donaldson, 1996) and of the more general symplectic zero loci (introduced by Auroux, 1997) are compared with that of its ambient space. We also study symplectic manifolds satisfying a weakly Lefschetz property,...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2007 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/50607 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/50607 |
| Access Level: | acceso abierto |
| Palavra-chave: | 514 515.1 Geometría Topología 1204 Geometría 1210 Topología |
| Resumo: | For a symplectic manifold, the harmonic cohomology of symplectic divisors (introduced by Donaldson, 1996) and of the more general symplectic zero loci (introduced by Auroux, 1997) are compared with that of its ambient space. We also study symplectic manifolds satisfying a weakly Lefschetz property, that is, the s–Lefschetz property. In particular, we consider the symplectic blow-ups CPm of the complex projective space CPm along weakly Lefschetz symplectic submanifolds M ⊂ CPm. As an application we construct, for each even integer s ≥ 2, compact symplectic manifolds which are s–Lefschetz but not (s + 1)–Lefschetz. |
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