论文标题

降低多链歧管

Reduction of multisymplectic manifolds

论文作者

Blacker, Casey

论文摘要

我们将Marsden-Weinstein-Meyer互合性还原定理扩展到多链歧管的设置。在这种情况下,我们研究了减少空间对还原参数的依赖性。关于杰出的多透明矩图,还获得了精确的固定相近似和非亚伯定位定理。

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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