On the integration of Poisson manifolds , Lie algebroids , and coisotropic submanifolds

  title={On the integration of Poisson manifolds , Lie algebroids , and coisotropic submanifolds},
  author={Alberto S. Cattaneo},
In recent years methods for the integration of Poisson manifolds and of Lie algebroids have been proposed, the latter being usually presented as a generalization of the former. In this note it is shown that the latter method is actually related to (and may be derived from) a particular case of the former if one regards dual of Lie algebroids as special Poisson manifolds. The core of the proof is the fact, discussed in the second part of this note, that coisotropic submanifolds of a (twisted… CONTINUE READING


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