\(C^0\)-rigidity of Poisson diffeomorphisms

DOI10.1007/s11005-023-01696-6zbMath1526.53079arXiv2302.05559MaRDI QIDQ6117094

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Publication date: 19 July 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.05559

zbMATH Keywords

Poisson diffeomorphisms\(C^0\)-rigidityenergy-capacity inequality

Mathematics Subject Classification ID

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

Cites Work

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• Quasi-states and the Poisson bracket on surfaces
• The group of Hamiltonian homeomorphisms and \(C^0\)-symplectic topology
• Some quantitative results in \(\mathcal {C}^0\) symplectic geometry
• On the existence of a Hofer type metric for Poisson manifolds
• Symplectic displacement energy for Lagrangian submanifolds
• Rigidity in topologyC⁰of the Poisson bracket for Tonelli Hamiltonians
• On the topological properties of symplectic maps
• C^0-rigidity of Poisson brackets
• Conjugation-invariant norms on groups of geometric origin
• Lectures on Poisson Geometry

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