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The generalization of symplectic reduction from symplectic manifolds to presymplectic manifolds.
Reductions of (pre-)symplectic manifolds:
symplectic geometry | physics |
---|---|
presymplectic manifold | covariant phase space |
$\downarrow$ gauge reduction | $\downarrow$ quotient by gauge symmetry |
symplectic manifold | reduced phase space |
$\downarrow$ symplectic reduction | $\downarrow$ quotient by global symmetry |
symplectic manifold | reduced phase space |
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.