Contents

Contents

Idea

The generalization of symplectic reduction from symplectic manifolds to presymplectic 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

• Francesco Bottacin, A Marsden-Weinstein reduction for presymplectic manifolds (pdf)

• A. Echeverría-Enríquez, M.C. Muñoz-Lecanda, N. Román-Roy, Reduction of Presymplectic Manifolds with Symmetry (arXiv:math-ph/9911008)

Last revised on September 16, 2013 at 01:55:12. See the history of this page for a list of all contributions to it.