Rigidity of Hamiltonian actions on Poisson manifolds

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor.author	Miranda Galcerán, Eva
dc.contributor.author	Monnier, Philippe
dc.contributor.author	Tien Zung, Nguyen
dc.date	2011-02-01
dc.identifier.uri	http://hdl.handle.net/2117/12645
dc.language.iso	eng
dc.relation	http://arxiv.org/PS_cache/arxiv/pdf/1102/1102.0175v1.pdf
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial
dc.subject	Geometry, Differencial
dc.subject	Geometria diferencial
dc.title	Rigidity of Hamiltonian actions on Poisson manifolds
dc.type	info:eu-repo/semantics/draft
dc.type	info:eu-repo/semantics/report
dc.description.abstract	This paper is about the rigidity of compact group actions in the Poisson context. The main result is that Hamiltonian actions of compact semisimple type are rigid. We prove it via a Nash-Moser normal form theorem for closed subgroups of SCI-type. This Nash-Moser normal form has other applications to stability results that we will explore in a future paper. We also review some classical rigidity results for differentiable actions of compact Lie groups and export it to the case of symplectic actions of compact Lie groups on symplectic manifolds.