Dehn fillings creating essential spheres and tori

Sangyop Lee, Seung Sang Oh, Masakazu Teragaito

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let M be a simple 3-manifold with a toral boundary component. It is known that if two Dehn fillings on M along the boundary produce a reducible manifold and a toroidal manifolds 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)887-890
Number of pages4
JournalJournal of Knot Theory and its Ramifications
Volume11
Issue number6
DOIs
Publication statusPublished - 2002 Sep 1
Externally publishedYes

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Dehn Filling
Torus
Slope

Keywords

  • Dehn filling
  • Reducible
  • Toroidal

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Dehn fillings creating essential spheres and tori. / Lee, Sangyop; Oh, Seung Sang; Teragaito, Masakazu.

In: Journal of Knot Theory and its Ramifications, Vol. 11, No. 6, 01.09.2002, p. 887-890.

Research output: Contribution to journalArticle

Lee, Sangyop ; Oh, Seung Sang ; Teragaito, Masakazu. / Dehn fillings creating essential spheres and tori. In: Journal of Knot Theory and its Ramifications. 2002 ; Vol. 11, No. 6. pp. 887-890.
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