Reduction of multisymplectic manifolds

Abstract

We extend the Marsden-Weinstein-Meyer symplectic reduction theorem to the setting of multisymplectic manifolds. In this context, we investigate the dependence of the reduced space on the reduction parameters. With respect to a distinguished class of multisymplectic moment maps, an exact stationary phase approximation and nonabelian localization theorem are also obtained.

31 pages

References in corpus (2)

• Quantized Nambu-Poisson Manifolds and n-Lie Algebras
• Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model

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