Existence of perfect Morse functions on spaces with semi-free circle action

dc.creatorKogan, Mikhail
dc.date2002-02-15
dc.date2003-04-01
dc.date.accessioned2026-07-07T04:46:29Z
dc.date.available2026-07-07T04:46:29Z
dc.descriptionLet $M$ be a compact oriented simply-connected manifold of dimension at least 8. Assume $M$ is equipped with a torsion-free semi-free circle action with isolated fixed points. We prove $M$ has a perfect invariant Morse-Smale function. The major ingredient in the proof is a new cancellation theorem for the invariant Morse theory.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0202149
dc.identifierhttp://arxiv.org/abs/math/0202149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63349
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.titleExistence of perfect Morse functions on spaces with semi-free circle action
dc.typetext

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