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.

中文翻译：

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减少多符号流形

我们将Marsden-Weinstein-Meyer辛约简定理扩展到多辛流形的设定。在这种情况下，我们研究了减少空间对减少参数的依赖性。对于一类特殊的多辛辛矩图，还获得了精确的平稳相位逼近和非阿贝尔定理。