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arXiv · 2002.10062

Reduction of multisymplectic manifolds

Casey Blacker
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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.

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Casey Blacker. 2020-02-24. Reduction of multisymplectic manifolds. https://doi.org/10.1007/s11005-021-01408-y

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