Lagrangian submanifolds and Lefschetz pencils

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Given 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.
40 pages, 1 figure

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Symplectic Geometry, Differential Geometry, 53D12; 53D35

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http://salesiana.dossiersoluciones.com/handle/123456789/71816

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407126
 http://arxiv.org/abs/math/0407126

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arXiv