Boundary reducible handle additions on simple 3-manifolds

Yan Nan Li; Rui Feng Qiu; Ming Xing Zhang

doi:10.1007/s10114-008-7119-y

Boundary reducible handle additions on simple 3-manifolds

Yan Nan Li
, Rui Feng Qiu
, Ming Xing Zhang

Dalian University of Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Let M be a simple manifold, and F be a component of δ 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 such that M(γ) is δ-reducible.

Original language	English
Pages (from-to)	235-244
Number of pages	10
Journal	Acta Mathematica Sinica, English Series
Volume	25
Issue number	2
DOIs	https://doi.org/10.1007/s10114-008-7119-y
State	Published - Feb 2009
Externally published	Yes

Keywords

Scharlemann cycle
Simple manifold
δ-reducible

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10.1007/s10114-008-7119-y

Cite this

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title = "Boundary reducible handle additions on simple 3-manifolds",

abstract = "Let M be a simple manifold, and F be a component of δ 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 such that M(γ) is δ-reducible.",

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author = "Li, \{Yan Nan\} and Qiu, \{Rui Feng\} and Zhang, \{Ming Xing\}",

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AU - Li, Yan Nan

AU - Qiu, Rui Feng

AU - Zhang, Ming Xing

PY - 2009/2

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N2 - Let M be a simple manifold, and F be a component of δ 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 such that M(γ) is δ-reducible.

AB - Let M be a simple manifold, and F be a component of δ 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 such that M(γ) is δ-reducible.

KW - Scharlemann cycle

KW - Simple manifold

KW - δ-reducible

UR - https://www.scopus.com/pages/publications/60449084831

U2 - 10.1007/s10114-008-7119-y

DO - 10.1007/s10114-008-7119-y

M3 - 文章

AN - SCOPUS:60449084831

SN - 1439-8516

VL - 25

SP - 235

EP - 244

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 2

ER -

Boundary reducible handle additions on simple 3-manifolds

Abstract

Keywords

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