On the group of strong symplectic homeomorphisms

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dc.creatorBanyaga, Augustin
dc.date2008-11-19
dc.date.accessioned2026-07-07T10:19:42Z
dc.date.available2026-07-07T10:19:42Z
dc.descriptionWe generalize the "hamiltonian topology" on hamiltonian isotopies to an intrinsic "symplectic topology" on the space of symplectic isotopies. We use it to define the group $SSympeo(M,ω)$ of strong symplectic homeomorphisms, which generalizes the group $Hameo(M,ω)$ of hamiltonian homeomorphisms introduced by Oh and Muller. The group $SSympeo(M,ω)$ is arcwise connected, is contained in the identity component of $Sympeo(M,ω)$; it contains $Hameo(M,ω)$ as a normal subgroup and coincides with it when $M$ is simply connected. Finally its commutator subgroup $[SSympeo(M,ω),SSympeo(M,ω)]$ is contained in $Hameo(M,ω)$.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0811.3235
dc.identifierhttp://arxiv.org/abs/0811.3235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174603
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject53D05; 53D35
dc.titleOn the group of strong symplectic homeomorphisms
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