Deformations of log-symplectic structures
arXiv:1307.3277 · doi:10.1112/jlms/jdu023
Abstract
We describe the space of Poisson bivectors near a log-symplectic structure up to small diffeomorphisms.
16 pages, Journal of the London Mathematical Society 2014
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Cited by in corpus (14)
- Symplectic and Poisson geometry on b-manifolds
- Toric actions on b-symplectic manifolds
- Examples of integrable and non-integrable systems on singular symplectic manifolds
- Action-angle variables and a KAM theorem for b-Poisson manifolds
- Stable generalized complex structures
- Desingularizing -symplectic structures
- Elliptic singularities on log symplectic manifolds and Feigin--Odesskii Poisson brackets
- -Structures on Lie groups and Poisson reduction
- Constructions of b-semitoric systems
- Fibrations and stable generalized complex structures
- The Arnold conjecture for singular symplectic manifolds
- Poisson structures of near-symplectic manifolds and their cohomology
- Non-exactness of toric Poisson structures
- Complexes, residues and obstructions for log-symplectic manifolds