共形辛流形上哈密顿作用的凸性包
辛几何
2023-11-27 v2 微分几何
摘要
考虑紧连通李群在共形辛流形上的哈密顿作用。我们在该作用为 Lee 型的假设下证明了矩映射的凸性定理,由此建立了共形辛几何中 Kirwan 凸性定理的类似结果。
引用
@article{arxiv.1905.12703,
title = {The convexity package for Hamiltonian actions on conformal symplectic manifolds},
author = {Youming Chen and Reyer Sjamaar and Xiangdong Yang},
journal= {arXiv preprint arXiv:1905.12703},
year = {2023}
}
备注
31 pages, 1 figure. Appendix on conformal presymplectic manifolds added. Minor mistakes corrected