Lagrangian submanifolds and Lefschetz pencils

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dc.creatorAuroux, Denis
dc.creatorMuñoz, Vicente
dc.creatorPresas, Francisco
dc.date2004-07-08
dc.date2004-07-08
dc.date.accessioned2026-07-07T05:10:05Z
dc.date.available2026-07-07T05:10:05Z
dc.descriptionGiven a Lagrangian submanifold in a symplectic manifold and a Morse function on the submanifold, we show that there is an isotopic Morse function and a symplectic Lefschetz pencil on the manifold extending the Morse function to the whole manifold. From this construction we define a sequence of symplectic invariants classifying the isotopy classes of Lagrangian spheres in a symplectic 4-manifold.
dc.description40 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0407126
dc.identifierhttp://arxiv.org/abs/math/0407126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71816
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject53D12; 53D35
dc.titleLagrangian submanifolds and Lefschetz pencils
dc.typetext

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