∂-reducible Dehn surgery and annular Dehn surgery

Ruifeng Qiu; Ying Zhang

doi:10.1016/s0166-8641(97)00229-0

∂-reducible Dehn surgery and annular Dehn surgery

Ruifeng Qiu, Ying Zhang

Jilin University

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

2 Scopus citations

Abstract

Let M be a compact, orientable, irreducible, ∂-irreducible, anannular 3-manifold with one component T of ∂M a torus. Suppose that r₁ and r₂ are two slopes on T. In this paper, we shall prove that if M(r₁) is ∂-reducible while M(r₂) contains an essential annulus, then Δ(r₁, r₂) ≤ 3.

Original language	English
Pages (from-to)	79-84
Number of pages	6
Journal	Topology and its Applications
Volume	92
Issue number	1
DOIs	https://doi.org/10.1016/s0166-8641(97)00229-0
State	Published - 1999
Externally published	Yes

Keywords

Anannular manifold
Dehn surgery
∂-reducible manifold

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10.1016/s0166-8641(97)00229-0

Cite this

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title = "∂-reducible Dehn surgery and annular Dehn surgery",

abstract = "Let M be a compact, orientable, irreducible, ∂-irreducible, anannular 3-manifold with one component T of ∂M a torus. Suppose that r1 and r2 are two slopes on T. In this paper, we shall prove that if M(r1) is ∂-reducible while M(r2) contains an essential annulus, then Δ(r1, r2) ≤ 3.",

keywords = "Anannular manifold, Dehn surgery, ∂-reducible manifold",

author = "Ruifeng Qiu and Ying Zhang",

year = "1999",

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AU - Qiu, Ruifeng

AU - Zhang, Ying

PY - 1999

Y1 - 1999

N2 - Let M be a compact, orientable, irreducible, ∂-irreducible, anannular 3-manifold with one component T of ∂M a torus. Suppose that r1 and r2 are two slopes on T. In this paper, we shall prove that if M(r1) is ∂-reducible while M(r2) contains an essential annulus, then Δ(r1, r2) ≤ 3.

AB - Let M be a compact, orientable, irreducible, ∂-irreducible, anannular 3-manifold with one component T of ∂M a torus. Suppose that r1 and r2 are two slopes on T. In this paper, we shall prove that if M(r1) is ∂-reducible while M(r2) contains an essential annulus, then Δ(r1, r2) ≤ 3.

KW - Anannular manifold

KW - Dehn surgery

KW - ∂-reducible manifold

UR - https://www.scopus.com/pages/publications/0003141501

U2 - 10.1016/s0166-8641(97)00229-0

DO - 10.1016/s0166-8641(97)00229-0

M3 - 文章

AN - SCOPUS:0003141501

SN - 0016-660X

VL - 92

SP - 79

EP - 84

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1

ER -

∂-reducible Dehn surgery and annular Dehn surgery

Abstract

Keywords

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