Boundary reducible handle additions on simple 3-manifolds

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dc.creatorLi, Yannan
dc.creatorQiu, Ruifeng
dc.creatorZhang, Mingxing
dc.date2007-01-16
dc.date.accessioned2026-07-07T07:41:17Z
dc.date.available2026-07-07T07:41:17Z
dc.descriptionLet $M$ be a simple manifold, and $F$ be a component of $\partial M$ of genus two. For a slope $γ$ on $F$, we denote by $M(γ)$ the manifold obtained by attaching a 2-handle to $M$ along a regular neighborhood of $γ$ on $F$. In this paper, we shall prove that there is at most one separating slope $γ$ on $F$ so that $M(γ)$ is $\partial$-reducible.
dc.description16 pages, 20 figures
dc.identifierhttps://arxiv.org/abs/math/0701440
dc.identifierhttp://arxiv.org/abs/math/0701440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122052
dc.subjectGeometric Topology
dc.subject57M50
dc.titleBoundary reducible handle additions on simple 3-manifolds
dc.typetext

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