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Generic behavior of asymptotically holomorphic Lefschetz pencils.

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dc.contributor.authorAmorós, Jaume
dc.contributor.authorMuñoz, Vicente
dc.contributor.authorPresas, Francisco
dc.date.accessioned2023-06-20T10:34:40Z
dc.date.available2023-06-20T10:34:40Z
dc.date.issued2004
dc.description.abstractWe prove that the vanishing spheres of the Lefschetz pen- cils constructed by Donaldson on symplectic manifolds of any dimension are conjugated under the action of the symplec- tomorphism group of the fiber. More precisely, a number of generalized Dehn twists may be used to conjugate those spheres. This implies the non-existence of homologically triv-ial vanishing spheres in these pencils. To develop the proof,we discuss some basic topological properties of the space of asymptotically holomorphic transverse sections.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipCICYT
dc.description.sponsorshipResearch Training Network
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21175
dc.identifier.issn1527-5256
dc.identifier.officialurlhttp://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.jsg/1118755326
dc.identifier.relatedurlhttp://projecteuclid.org
dc.identifier.relatedurlhttp://arxiv.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50618
dc.issue.number3
dc.journal.titleThe Journal of Symplectic Geometry
dc.language.isoeng
dc.page.final392
dc.page.initial377
dc.publisherInternational Press
dc.relation.projectIDBFM2003–06001
dc.relation.projectIDBFM2000–0024.
dc.relation.projectIDBFM2000–0024
dc.relation.projectIDHPRN-CT-2000-00101.
dc.rights.accessRightsrestricted access
dc.subject.cdu514
dc.subject.keywordSymplectic
dc.subject.keywordLefschetz pencil
dc.subject.keywordAsymptotically holomorphic
dc.subject.ucmGeometría
dc.subject.unesco1204 Geometría
dc.titleGeneric behavior of asymptotically holomorphic Lefschetz pencils.
dc.typejournal article
dc.volume.number2
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