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The Fundamental Group of $S^1$-manifolds |
Canad. J. Math. 62(2010), 1082-1098
Published:2010-07-06
Printed: Oct 2010
Printed: Oct 2010
- Leonor Godinho,
- M. E. Sousa-Dias,
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.
| MSC Classifications: |
53D20 - Momentum maps; symplectic reduction 37J10 - Symplectic mappings, fixed points 55Q05 - Homotopy groups, general; sets of homotopy classes |