Reducing spheres and Klein bottles after Dehn fillings

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)265-267
Number of pages3
JournalCanadian Mathematical Bulletin
Volume46
Issue number2
Publication statusPublished - 2003 Jun 1

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Dehn Filling
Klein bottle
Slope
Torus

Keywords

  • Dehn filling
  • Klein bottle
  • Reducible

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Reducing spheres and Klein bottles after Dehn fillings. / Oh, Seung Sang.

In: Canadian Mathematical Bulletin, Vol. 46, No. 2, 01.06.2003, p. 265-267.

Research output: Contribution to journalArticle

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