Special Issue: Knots 2000 Korea (Volume 3)No Access

DEHN FILLINGS CREATING ESSENTIAL SPHERES AND TORI

Department of Mathematics, KAIST, Taejon 305-701, Korea

Department of Mathematics, Chonbuk National University, Chonju 561-756, Korea

This author was supported by grant No. 2001-1-10100-010-2 from the Basic Research Program of the Korea Science & Engineering Foundation.

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MASAKAZU TERAGAITO

Department of Mathematics and Mathematics Education, Hiroshima University, Kagamiyama 1-1-1, Higashi-Hiroshima 739-8524, Japan

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https://doi.org/10.1142/S0218216502002025Cited by:0 (Source: Crossref)

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 mainfold, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.

Keywords:

AMSC: 57M50

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DEHN FILLINGS CREATING ESSENTIAL SPHERES AND TORI

Abstract

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