Deformations of log-symplectic structures

DOI10.1112/jlms/jdu023zbMath1307.53065arXiv1307.3277OpenAlexW3101658558MaRDI QIDQ2874656

Boris Osorno Torres, Ioan Mǎrcuţ

Publication date: 8 August 2014

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

Full work available at URL: https://arxiv.org/abs/1307.3277

zbMATH Keywords

deformationPoisson manifoldcosymplectic structure\(b\)-manifoldlog-symplectic manifold\(b\)-cohomology

Mathematics Subject Classification ID

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

Related Items (18)

Examples of integrable and non-integrable systems on singular symplectic manifolds ⋮ \(b\)-structures on Lie groups and Poisson reduction ⋮ Non-exactness of toric Poisson structures ⋮ Symplectic and Poisson geometry on \( b\)-manifolds ⋮ Poisson cohomology of broken Lefschetz fibrations ⋮ Constructions of b-semitoric systems ⋮ Action-angle variables and a KAM theorem for \(b\)-Poisson manifolds ⋮ A BOGOMOLOV UNOBSTRUCTEDNESS THEOREM FOR LOG-SYMPLECTIC MANIFOLDS IN GENERAL POSITION ⋮ Classification of \(b^m\)-Nambu structures of top degree ⋮ Obstructions for symplectic Lie algebroids ⋮ Elliptic singularities on log symplectic manifolds and Feigin–Odesskii Poisson brackets ⋮ SNC Log Symplectic Structures on Fano Products ⋮ Equivariant classification of \(b^m\)-symplectic surfaces ⋮ Fibrations and stable generalized complex structures ⋮ An invitation to singular symplectic geometry ⋮ Deformations of Lagrangian submanifolds in log-symplectic manifolds ⋮ Complexes, residues and obstructions for log-symplectic manifolds ⋮ Poisson structures of near-symplectic manifolds and their cohomology

Cites Work

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• Codimension one symplectic foliations and regular Poisson structures
• Stability of symplectic leaves
• Normal forms for smooth Poisson structures
• A classification of topologically stable Poisson structures on a compact oriented surface
• On fibering certain foliated manifolds over \(S^1\)
• Deformations of the Lie–Poisson sphere of a compact semisimple Lie algebra
• Symplectic Groupoids of Log Symplectic Manifolds
• Global Classification of Generic Multi‐Vector Fields of Top Degree

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