Rigidity of infinitesimal momentum maps

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Title:	Rigidity of infinitesimal momentum maps
Author:	Miranda Galcerán, Eva; Esposito, Chiara
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Abstract:	In this paper we prove rigidity theorems for Poisson Lie group actions on Poisson manifolds. In particular, we prove that close infinitesimal momentum maps associated to Poisson Lie group actions are equivalent using a normal form theorem for SCI spaces. When the Poisson structure of the acted manifold is integrable, this yields rigidity also for lifted actions to the symplectic groupoid.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica -Mathematical physics -Física matemàtica
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Updated version Article
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