Dirac Submanifolds and Poisson Involutions

@inproceedings{International2001DiracSA,
  title={Dirac Submanifolds and Poisson Involutions},
  author={Erwin Schr{\"o}dinger International and Ping Xu},
  year={2001}
}
  • 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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References

Publications referenced by this paper.
Showing 1-10 of 26 references

Symplectic groupoids related to Poisson-Lie

  • A. Bondal
  • 1999
Highly Influential
12 Excerpts

Structure transverse aux orbits de la représentation coadjointe: le cas des orbites réductives

  • P. Molino
  • Sem. Geom. Diff., USTL (Montpellier)
  • 1984
Highly Influential
2 Excerpts

Integration of Lie bialgebroids

  • K. Mackenzie, P. Xu
  • Topology
  • 2000
1 Excerpt

A symplectic groupoid of triangular bilinear forms and the braid group

  • A. Bondal
  • 1999
2 Excerpts

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