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,...

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Detalhes bibliográficos
Autores: Fernández, M., Muñoz, Vicente, Ugarte, L.
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
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spelling Weakly Lefschetz symplectic manifolds.Fernández, M.Muñoz, VicenteUgarte, L.514515.1GeometríaTopología1204 Geometría1210 TopologíaFor 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.American Mathematical SocietyUniversidad Complutense de Madrid20072007-01-0120072007-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://hdl.handle.net/20.500.14352/50607reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/506072026-06-02T12:44:21Z
dc.title.none.fl_str_mv Weakly Lefschetz symplectic manifolds.
title Weakly Lefschetz symplectic manifolds.
spellingShingle Weakly Lefschetz symplectic manifolds.
Fernández, M.
514
515.1
Geometría
Topología
1204 Geometría
1210 Topología
title_short Weakly Lefschetz symplectic manifolds.
title_full Weakly Lefschetz symplectic manifolds.
title_fullStr Weakly Lefschetz symplectic manifolds.
title_full_unstemmed Weakly Lefschetz symplectic manifolds.
title_sort Weakly Lefschetz symplectic manifolds.
dc.creator.none.fl_str_mv Fernández, M.
Muñoz, Vicente
Ugarte, L.
author Fernández, M.
author_facet Fernández, M.
Muñoz, Vicente
Ugarte, L.
author_role author
author2 Muñoz, Vicente
Ugarte, L.
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 514
515.1
Geometría
Topología
1204 Geometría
1210 Topología
topic 514
515.1
Geometría
Topología
1204 Geometría
1210 Topología
description 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.
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-01-01
2007
2007-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/50607
url https://hdl.handle.net/20.500.14352/50607
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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