The fundamental group of $S^1$-manifolds

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dc.creatorGodinho, L.
dc.creatorSousa-Dias, M. E.
dc.date2005-05-19
dc.date.accessioned2026-07-07T05:20:04Z
dc.date.available2026-07-07T05:20:04Z
dc.descriptionWe 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.
dc.description15 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0505420
dc.identifierhttp://arxiv.org/abs/math/0505420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75249
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Topology
dc.subject53D05; 53D20; 57R19
dc.titleThe fundamental group of $S^1$-manifolds
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