On the existence of symplectic realizations

@article{Crainic2010OnTE,
  title={On the existence of symplectic realizations},
  author={M. Crainic and Ioan Marcut},
  journal={arXiv: Differential Geometry},
  year={2010}
}
  • M. Crainic, Ioan Marcut
  • Published 2010
  • Mathematics
  • arXiv: Differential Geometry
  • We give a direct global proof for the existence of symplectic realizations of arbitrary Poisson manifolds. 
    27 Citations
    Symplectic realizations of holomorphic Poisson manifolds
    • 9
    • Highly Influenced
    • PDF
    Poisson geometry from a Dirac perspective
    • 8
    • Highly Influenced
    • PDF
    Splitting theorems for Poisson and related structures
    • 24
    • PDF
    On the symplectic realization of Poisson-Nijenhuis manifolds
    • 4
    • Highly Influenced
    • PDF
    Formal Symplectic Realizations
    • 1
    • Highly Influenced
    • PDF
    Linearization of Poisson Lie group structures
    • 13
    • PDF

    References

    SHOWING 1-9 OF 9 REFERENCES
    Poisson Structures and Their Normal Forms
    • 187
    • Highly Influential
    • PDF
    Integration of twisted Poisson structures
    • 39
    • PDF
    Introduction to Differentiable Manifolds
    • 444
    • PDF
    Poisson Geometry with a 3-Form Background
    • 353
    • PDF
    Integrability of Poisson Brackets
    • 208
    • PDF
    Analogues of objects of the theory of Lie groups for nonlinear Poisson brackets, Math. USSR-Izv
    • 1987
    Lagrangian mechanics and groupoids
    • Fields Inst. Commun.,
    • 1996
    and G
    • Felder, Poisson sigma models and symplectic groupoids, Quantization of singular symplectic quotients, 61–93, Progress in Mathematics, 198, Birkhauser, Basel,
    • 2001