The fundamental group of $S^1$-manifolds
辛几何
2007-05-23 v1 代数拓扑
摘要
We address the problem of computing the fundamental group of a symplectic -manifold for non-Hamiltonian actions on compact manifolds, and for Hamiltonian actions on non-compact manifolds with a proper moment map. We generalize known results for compact manifolds equipped with a Hamiltonian -action. Several examples are presented to illustrate our main results.
引用
@article{arxiv.math/0505420,
title = {The fundamental group of $S^1$-manifolds},
author = {L. Godinho and M. E. Sousa-Dias},
journal= {arXiv preprint arXiv:math/0505420},
year = {2007}
}
备注
15 pages, 3 figures