nLab
Poisson reduction

Contents

Contents

Idea

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

Reductions of (pre-)symplectic manifolds:

symplectic geometryphysics
presymplectic manifoldcovariant phase space
\downarrow gauge reduction\downarrow quotient by gauge symmetry
symplectic manifoldreduced phase space
\downarrow symplectic reduction\downarrow quotient by global symmetry
symplectic manifoldreduced phase space

References

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