The distance between two separating, reducing slopes is at most 4

Mingxing Zhang; Ruifeng Qiu; Yannan Li

doi:10.1007/s00209-007-0147-y

The distance between two separating, reducing slopes is at most 4

Mingxing Zhang^*
, Ruifeng Qiu
, Yannan Li

^*此作品的通讯作者

Dalian University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

Let M be a simple 3-manifold such that one component of ∂M, say F, has genus at least two. For a slope α on F, we denote by M(α) the manifold obtained by attaching a 2-handle to M along a regular neighborhood of α on F. If M(α) is reducible, then α is called a reducing slope. In this paper, we shall prove that the distance between two separating, reducing slopes on F is at most 4.

源语言	英语
页（从-至）	799-810
页数	12
期刊	Mathematische Zeitschrift
卷	257
期	4
DOI	https://doi.org/10.1007/s00209-007-0147-y
出版状态	已出版 - 12月 2007
已对外发布	是

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AB - Let M be a simple 3-manifold such that one component of ∂M, say F, has genus at least two. For a slope α on F, we denote by M(α) the manifold obtained by attaching a 2-handle to M along a regular neighborhood of α on F. If M(α) is reducible, then α is called a reducing slope. In this paper, we shall prove that the distance between two separating, reducing slopes on F is at most 4.

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The distance between two separating, reducing slopes is at most 4

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