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Published February 1986 | public
Journal Article

Reduction of Poisson manifolds

Abstract

Reduction in the category of Poisson manifolds is defined and some basic properties are derived. The context is chosen to include the usual theorems on reduction of symplectic manifolds, as well as results such as the Dirac bracket and the reduction to the Lie-Poisson bracket.

Additional Information

© 1986 Springer Verlag. Received: 15 October 1985, this version: May 6, 1994. Research partially supported by DOE, contract DE-AT03-85ER 12097. Supported by an A. P. Sloan Foundation fellowship. We thank Ted Courant, Richard Montgomery, Jedrzej Sniatycki, and Alan Weinstein for helpful discussions.

Additional details

Created:
August 19, 2023
Modified:
October 20, 2023