Geodesic
The Fundamental Group of S 1-manifolds
Canadian journal of mathematics, Tome 62 (2010) no. 5, pp. 1082-1098

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DOI

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.
DOI : 10.4153/CJM-2010-053-3
Mots-clés : 53D20, 37J10, 55Q05 
Godinho, Leonor. The Fundamental Group of S 1-manifolds. Canadian journal of mathematics, Tome 62 (2010) no. 5, pp. 1082-1098. doi: 10.4153/CJM-2010-053-3
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     number = {5},
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