Dirac Submanifolds and Poisson Involutions

  title={Dirac Submanifolds and Poisson Involutions},
  author={Erwin Schr{\"o}dinger International and Ping Xu},
  • Erwin Schrödinger International, Ping Xu
  • Published 2001
Dirac submanifolds are a natural generalization in the Poisson category for symplectic submanifolds of a symplectic manifold. In a certain sense they correspond to symplectic subgroupoids of the symplectic groupoid of the given Poisson manifold. In particular, Dirac submanifolds arise as the stable locus of a Poisson involution. In this paper, we provide a general study for these submanifolds including both local and global aspects. In the second part of the paper, we study Poisson involutions… CONTINUE READING
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