Symplectic Energy and Lagrangian Intersection Under Legendrian Deformations

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dc.creatorHer, Hai-Long
dc.date2007-05-20
dc.date.accessioned2026-07-07T08:02:34Z
dc.date.available2026-07-07T08:02:34Z
dc.descriptionLet M be a compact symplectic manifold, and L be a closed Lagrangian submanifold which can be lifted to a Legendrian submanifold in the contactization of M. For any Legendrian deformation of L satisfying some given conditions, we get a new Lagrangian submanifold L'. We prove that the number of intersection of L and L' can be estimated from below by the sum of $Z_2$-Betti numbers of L, provided they intersect transversally.
dc.description16 pages, to appear in the Pacific Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/0705.2884
dc.identifierhttp://arxiv.org/abs/0705.2884
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129267
dc.subjectSymplectic Geometry
dc.subject53D10; 53D40; 57R22
dc.titleSymplectic Energy and Lagrangian Intersection Under Legendrian Deformations
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