The fundamental group of $S^1$-manifolds

Details The fundamental group of $S^1$-manifolds The fundamental group of $S^1$-manifolds

2005-05-19

arxiv.org/abs/math/0505420v1

Mathematics

Symplectic Geometry

15 pages, 3 figures

Scientific paper

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.

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