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Rigidity of Poisson Lie group actions

Autor
Miranda, E.
Tipus d'activitat
Document cientificotècnic
Data
2014
DOI
arxiv.org/abs/1410.5202v1
Projecte finançador
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Repositori
http://hdl.handle.net/2117/24632 Obrir en finestra nova
URL
http://arxiv.org/abs/1410.5202v1 Obrir en finestra nova
Resum
n this paper we prove that close infinitesimal momentum maps associated to Poisson Lie actions are equivalent under some mild assumptions. We also obtain rigidity theorems for actual momentum maps (when the acting Lie group G is endowed with an arbitrary Poisson structure) combining a rigidity result for canonical Hamiltonian actions (\cite{MMZ}) and a linearization theorem(\cite{GW}). These results have applications to quantization of symmetries since these infinitesimal momentum maps appear as...
Citació
Miranda, E. "Rigidity of Poisson Lie group actions". 2014.
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

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