Singular cotangent bundle reduction and spin Calogero-Moser systems
辛几何
2008-10-30 v3 数学物理
math.MP
摘要
We develop a bundle picture for the case that the configuration manifold has only a single isotropy type, and give a formula for the reduced symplectic form in this setting. Furthermore, as an application of this bundle picture we consider Calogero-Moser systems with spin associated to polar representations of compact Lie groups.
引用
@article{arxiv.math/0411068,
title = {Singular cotangent bundle reduction and spin Calogero-Moser systems},
author = {Simon Hochgerner},
journal= {arXiv preprint arXiv:math/0411068},
year = {2008}
}
备注
30 pages, typos and minor mistakes corrected; v3: revised version