Complete Lie algebroid actions and the integrability of Lie algebroids

DOI10.1090/PROC/15586zbMath1478.53134arXiv2011.11823OpenAlexW3109332076MaRDI QIDQ4957679

Daniel Álvarez

Publication date: 9 September 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.11823

zbMATH Keywords

orbit spacedouble Lie groupoidsurjective submersionmultiplicative foliations

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Foliations (differential geometric aspects) (53C12)

Cites Work

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• Multiplicative Dirac structures
• A geometric approach to Conn's linearization theorem
• Leaves of stacky Lie algebroids
• Algebraic constructions in the category of Lie algebroids
• A groupoid approach to quantization
• Determination of a double Lie groupoid by its core diagram
• Double Lie algebroids and second-order geometry. I
• Integrability of Lie brackets
• Integrability of Poisson brackets
• The leaf space of a multiplicative foliation
• Poisson structures and their normal forms
• Lie algebroids and homological vector fields
• On integrability of infinitesimal actions

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