The fundamental group of symplectic manifolds with Hamiltonian SU(2) or SO(3) actions

dc.creatorLi, Hui
dc.date2004-11-30
dc.date2005-07-13
dc.date.accessioned2026-07-07T05:14:48Z
dc.date.available2026-07-07T05:14:48Z
dc.descriptionLet $(M, ω)$ be a connected compact symplectic manifold equipped with a Hamiltonian SU(2) or SO(3) action. We prove that, as fundamental group of topological spaces, $π_1(M)=π_1(M_{red})$, where $M_{red}$ is the symplectic quotient at any value of the moment map $ϕ$.
dc.descriptionThis paper has been withdrawn due to some error
dc.identifierhttps://arxiv.org/abs/math/0411651
dc.identifierhttp://arxiv.org/abs/math/0411651
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73422
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Topology
dc.subject53D05, 53D20, 55Q05, 57R19
dc.titleThe fundamental group of symplectic manifolds with Hamiltonian SU(2) or SO(3) actions
dc.typetext

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