Lagrangian submanifolds and Lefschetz pencils

dc.creator	Auroux, Denis
dc.creator	Muñoz, Vicente
dc.creator	Presas, Francisco
dc.date	2007-12-03T19:31:16Z
dc.date	2007-12-03T19:31:16Z
dc.date	2004-07-08
dc.date.accessioned	2017-01-31T00:59:19Z
dc.date.available	2017-01-31T00:59:19Z
dc.identifier	arXiv:math/0407126v2
dc.identifier	http://hdl.handle.net/10261/2496
dc.identifier.uri	http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2496
dc.description	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.
dc.description	Peer reviewed
dc.language	eng
dc.relation	Preprint
dc.rights	openAccess
dc.subject	Symplectic
dc.subject	Lefschetz pencil
dc.subject	Lagrangian submanifold
dc.title	Lagrangian submanifolds and Lefschetz pencils
dc.type	Pre-print

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