nLab
symplectic reduction

Contents

Idea

This entry is being splitt-off from BRST-BV formalism. For the moment see the discussion there at Hamiltonian BFV.

Properties

The analog for presymplectic manifolds is presymplectic reduction.

The analog for Poisson manifolds is Poisson reduction.

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

The original influential article is

Reviews include

Textbook accounts include

Revised on September 20, 2013 23:55:54 by Zoran Škoda (161.53.130.104)