The fundamental group of $S^1$-manifolds

L. Godinho; M. E. Sousa-Dias

paper

The fundamental group of $S^{1}$ -manifolds

arXiv:math/0505420

Abstract

We address the problem of computing the fundamental group of a symplectic $S^{1}$ -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 $S^{1}$ -action. Several examples are presented to illustrate our main results.

15 pages, 3 figures

The fundamental group of S1-manifolds

Abstract

The fundamental group of $S^{1}$ -manifolds