nLab
presymplectic reduction

Context

Symplectic geometry

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

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)

Revised on September 16, 2013 01:55:12 by Urs Schreiber (89.204.139.122)