Rigidity of infinitesimal momentum maps |
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| Authors: | Chiara Esposito Eva Miranda |
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| Institution: | 1.Department of Mathematics,Julius Maximilian University of Würzburg,Würzburg,Germany;2.Department of Mathematics,Universitat Politècnica de Catalunya and BGSMath, EPSEB,Barcelona,Spain |
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| 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. |
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