The fundamental group of $S^1$-manifolds

Godinho, L.; Sousa-Dias, M. E.

The fundamental group of $S^1$-manifolds

Authors

Description

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