Poisson structures whose Poisson diffeomorphism group is not locally path-connected

DOI10.5802/AHL.108zbMath1495.53094arXiv2001.00644OpenAlexW4226086820MaRDI QIDQ2077197

Ioan Mǎrcuţ

Publication date: 24 February 2022

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00644

zbMATH Keywords

Poisson manifoldsPoisson diffeomorphismsLie subgroupsFréchet Lie groups

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (1)

Poisson cohomology of 3D Lie algebras

Cites Work

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• Flux homomorphism on symplectic groupoids
• The Lie group of bisections of a Lie groupoid
• Symplectic manifolds and their Lagrangian submanifolds
• The inverse function theorem of Nash and Moser
• On foliated, Poisson and Hamiltonian diffeomorphisms

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