Boundary reducible handle additions on simple 3-manifolds

Yannan Li; Ruifeng Qiu; Mingxing Zhang

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Boundary reducible handle additions on simple 3-manifolds

Yannan Li·Ruifeng Qiu·Mingxing Zhang

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Abstract

Let $M$ 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.

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BibTeX RIS

Yannan Li, Ruifeng Qiu, Mingxing Zhang. 2007-01-16. Boundary reducible handle additions on simple 3-manifolds. https://arxiv.org/abs/math/0701440

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