The generalization of symplectic reduction from symplectic manifolds to Poisson manifolds.

Reductions of (pre-)symplectic manifolds:

symplectic geometry | physics |
---|---|

presymplectic manifold | covariant phase space |

$\downarrow$ gauge reduction | $\downarrow$ quotient by gauge symmetry |

symplectic manifold | reduced phase space |

$\downarrow$ symplectic reduction | $\downarrow$ quotient by global symmetry |

symplectic manifold | reduced phase space |

- Juan-Pablo Ortega, Tudor S. Ratiu,
*Poisson reduction*(arXiv:math/0508635)

Last revised on September 16, 2013 at 01:57:01. See the history of this page for a list of all contributions to it.