Dehn fillings creating essential spheres and tori

Sangyop Lee; Seungsang Oh; Masakazu Teragaito

doi:10.1142/S0218216502002025

Dehn fillings creating essential spheres and tori

Sangyop Lee, Seungsang Oh, Masakazu Teragaito

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

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 language	English
Pages (from-to)	887-890
Number of pages	4
Journal	Journal of Knot Theory and its Ramifications
Volume	11
Issue number	6
DOIs	https://doi.org/10.1142/S0218216502002025
Publication status	Published - 2002 Sept
Externally published	Yes

Bibliographical note

Funding Information:
*This author was supported by grant No. 2001-1-10100-010-2 the Korea Science h Engineering Foundation

Keywords

Dehn filling
Reducible
Toroidal

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1142/S0218216502002025

Cite this

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title = "Dehn fillings creating essential spheres and tori",

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.",

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note = "Funding Information: *This author was supported by grant No. 2001-1-10100-010-2 the Korea Science h Engineering Foundation",

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AU - Oh, Seungsang

AU - Teragaito, Masakazu

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PY - 2002/9

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N2 - 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.

AB - 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.

KW - Dehn filling

KW - Reducible

KW - Toroidal

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M3 - Article

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ER -

Dehn fillings creating essential spheres and tori

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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