Reducible dehn surgery and annular dehn surgery

Ruifeng Qiu

doi:10.2140/pjm.2000.192.357

Reducible dehn surgery and annular dehn surgery

Ruifeng Qiu^*

^*Corresponding author for this work

Jilin University

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

3 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 show that if M(r₁) is reducible while M(r₂) contains an essential annulus, then Δ(r₁,r₂) ≤ 2.

Original language	English
Pages (from-to)	357-368
Number of pages	12
Journal	Pacific Journal of Mathematics
Volume	192
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2000.192.357
State	Published - Feb 2000
Externally published	Yes

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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 show that if M(r1) is reducible while M(r2) contains an essential annulus, then Δ(r1,r2) ≤ 2.",

author = "Ruifeng Qiu",

year = "2000",

month = feb,

doi = "10.2140/pjm.2000.192.357",

language = "英语",

volume = "192",

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journal = "Pacific Journal of Mathematics",

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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 show that if M(r1) is reducible while M(r2) contains an essential annulus, then Δ(r1,r2) ≤ 2.

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 show that if M(r1) is reducible while M(r2) contains an essential annulus, then Δ(r1,r2) ≤ 2.

UR - https://www.scopus.com/pages/publications/0042683350

U2 - 10.2140/pjm.2000.192.357

DO - 10.2140/pjm.2000.192.357

M3 - 文章

AN - SCOPUS:0042683350

SN - 0030-8730

VL - 192

SP - 357

EP - 368

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Reducible dehn surgery and annular dehn surgery

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