Lagrangian Non-Intersections

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dc.creatorBiran, Paul
dc.date2004-12-06
dc.date2005-03-20
dc.date.accessioned2026-07-07T05:14:59Z
dc.date.available2026-07-07T05:14:59Z
dc.descriptionIn this paper we use Floer theory to study topological restrictions on Lagrangian embeddings in closed symplectic manifolds. One of the phenomena arising from our results is ``homological rigidity'' of Lagrangian submanifolds. Namely, in certain symplectic manifolds, conditions on low dimensional topological invariants of a Lagrangian (such as its first homology) completely determine its entire homology. We also develop methods for studying Hamiltonian displacement of Lagrangian submanifolds and its relations to the topology of Lagrangians. Finally we present some new results on Lagrangian intersections.
dc.identifierhttps://arxiv.org/abs/math/0412110
dc.identifierhttp://arxiv.org/abs/math/0412110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73493
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.titleLagrangian Non-Intersections
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