Reducing spheres and Klein bottles after Dehn fillings

Seungsang Oh

doi:10.4153/CMB-2003-026-2

Reducing spheres and Klein bottles after Dehn fillings

Seungsang Oh^*

^*Corresponding author for this work

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

Abstract

Let M be a compact, connected, orientable, irreducible 3-manifold with a torus boundary. It is known that if two Dehn fillings on M along the boundary produce a reducible manifold and a manifold containing a Klein bottle, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.

Original language	English
Pages (from-to)	265-267
Number of pages	3
Journal	Canadian Mathematical Bulletin
Volume	46
Issue number	2
DOIs	https://doi.org/10.4153/CMB-2003-026-2
Publication status	Published - 2003 Jun

Keywords

Dehn filling
Klein bottle
Reducible

ASJC Scopus subject areas

General Mathematics

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10.4153/CMB-2003-026-2

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title = "Reducing spheres and Klein bottles after Dehn fillings",

abstract = "Let M be a compact, connected, orientable, irreducible 3-manifold with a torus boundary. It is known that if two Dehn fillings on M along the boundary produce a reducible manifold and a manifold containing a Klein bottle, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.",

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AB - Let M be a compact, connected, orientable, irreducible 3-manifold with a torus boundary. It is known that if two Dehn fillings on M along the boundary produce a reducible manifold and a manifold containing a Klein bottle, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.

KW - Dehn filling

KW - Klein bottle

KW - Reducible

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DO - 10.4153/CMB-2003-026-2

M3 - Article

AN - SCOPUS:0038158261

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SP - 265

EP - 267

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

IS - 2

ER -

Reducing spheres and Klein bottles after Dehn fillings

Abstract

Keywords

ASJC Scopus subject areas

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