Coisotropic Intersections

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dc.creatorGinzburg, Viktor L.
dc.date2006-05-08
dc.date.accessioned2026-07-07T07:14:00Z
dc.date.available2026-07-07T07:14:00Z
dc.descriptionIn this paper we make the first steps towards developing a theory of intersections of coisotropic submanifolds, similar to that for Lagrangian submanifolds. For coisotropic submanifolds satisfying a certain stability requirement we establish persistence of coisotropic intersections under Hamiltonian diffeomorphisms, akin to the Lagrangian intersection property. To be more specific, we prove that the displacement energy of a stable coisotropic submanifold is positive, provided that the ambient symplectic manifold meets some natural conditions. We also show that a displaceable, stable, coisotropic submanifold has non-zero Liouville class. This result further underlines the analogy between displacement properties of Lagrangian and coisotropic submanifolds.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math/0605186
dc.identifierhttp://arxiv.org/abs/math/0605186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112694
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject53D40, 53D12, 37J45
dc.titleCoisotropic Intersections
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