Coisotropic Submanifolds in b-symplectic Geometry

DOI10.4153/S0008414X20000140zbMath1480.53092arXiv1907.09251MaRDI QIDQ4999640

Marco Zambon, Stephane Geudens

Publication date: 7 July 2021

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09251

zbMATH Keywords

normal formPoisson manifoldcoisotropic submanifoldlog-symplectic manifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (3)

Reduction theory for singular symplectic manifolds and singular forms on moduli spaces ⋮ On deformations of coisotropic submanifolds with fixed characteristic foliation ⋮ Deformations of Lagrangian submanifolds in log-symplectic manifolds

Cites Work

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• Symplectic and Poisson geometry on \( b\)-manifolds
• The tropical momentum map: a classification of toric log symplectic manifolds
• Hamiltonian reduction by stages
• Reduction and quantization for singular momentum mappings
• Algebraic geometry of Poisson brackets
• Lectures on the geometry of Poisson manifolds
• Fibrations and log-symplectic structures
• Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures
• Symplectic Groupoids of Log Symplectic Manifolds
• Toric Actions onb-Symplectic Manifolds
• On Coisotropic Imbeddings of Presymplectic Manifolds
• Examples and counter-examples of log-symplectic manifolds
• Lectures on symplectic geometry

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