Reduction of multisymplectic manifolds
Symplectic Geometry
2021-05-14 v2
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.
Cite
@article{arxiv.2002.10062,
title = {Reduction of multisymplectic manifolds},
author = {Casey Blacker},
journal= {arXiv preprint arXiv:2002.10062},
year = {2021}
}
Comments
31 pages