On the Flux Conjectures

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dc.creatorLalonde, Francois
dc.creatorMcDuff, Dusa
dc.creatorPolterovich, Leonid
dc.date1997-06-26
dc.date.accessioned2026-07-07T09:13:06Z
dc.date.available2026-07-07T09:13:06Z
dc.descriptionThe ``Flux conjecture'' for symplectic manifolds states that the group of Hamiltonian diffeomorphisms is C^1-closed in the group of all symplectic diffeomorphisms. We prove the conjecture for spherically rational manifolds and for those whose minimal Chern number on 2-spheres either vanishes or is large enough. We also confirm a natural version of the Flux conjecture for symplectic torus actions. In some cases we can go further and prove that the group of Hamiltonian diffeomorphisms is C^0-closed in the identity component of the group of all symplectic diffeomorphisms.
dc.descriptionLatex, 21 pages
dc.identifierhttps://arxiv.org/abs/dg-ga/9706015
dc.identifierhttp://arxiv.org/abs/dg-ga/9706015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152251
dc.subjectDifferential Geometry
dc.subject58D05, 53C15
dc.titleOn the Flux Conjectures
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