Topics in Poisson Geometry

This monograph is a review of Poisson geometry, Lie groupoids and Lie algebroids theory and they relations. We present a summary of the main known results in this areas and as a return of the striking connection of this topics, we present the geometric approach to Conns linearization theorem present...

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Detalles Bibliográficos
Autor: Luiz, Murilo do Nascimento
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2019
País:Brasil
Institución:Universidade de São Paulo (USP)
Repositorio:Biblioteca Digital de Teses e Dissertações da USP
Idioma:inglés
OAI Identifier:oai:teses.usp.br:tde-19032020-082507
Acceso en línea:https://www.teses.usp.br/teses/disponiveis/55/55135/tde-19032020-082507/
Access Level:acceso abierto
Palabra clave:Algebroides de Lie
Geometria de Poisson
Grupoides de Lie
Lie algebroids
Lie groupoids
Linearização
Linearization
Poisson geometry
Descripción
Sumario:This monograph is a review of Poisson geometry, Lie groupoids and Lie algebroids theory and they relations. We present a summary of the main known results in this areas and as a return of the striking connection of this topics, we present the geometric approach to Conns linearization theorem present in [Crainic and Fernandes 2011].