$π_1$ of Hamiltonian $S^1$ manifolds

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dc.creatorLi, Hui
dc.date2002-03-08
dc.date2002-10-28
dc.date.accessioned2026-07-07T04:46:54Z
dc.date.available2026-07-07T04:46:54Z
dc.descriptionLet $(M, ω)$ be a connected, compact symplectic manifold equipped with a Hamiltonian $S^1$ action. We prove that, as fundamental groups of topological spaces, $π_1(M)=π_1(\hbox{minimum})=π_1(\hbox{maximum})=π_1(M_{red})$, where $M_{red}$ is the symplectic quotient at any value in the image of the moment map $ϕ$.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0203075
dc.identifierhttp://arxiv.org/abs/math/0203075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63520
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Topology
dc.subject58xxx
dc.title$π_1$ of Hamiltonian $S^1$ manifolds
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