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Reducing Spheres and Klein Bottles after Dehn Fillings

Published online by Cambridge University Press:  20 November 2018

Seungsang Oh
Seungsang Oh*
Affiliation:
Department of Mathematics, Korea University, 1, Anam-dong, Sungbuk-ku, Seoul 136-701, Korea, email: soh@math.korea.ac.kr
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Abstract

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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.

Keywords

57M50Dehn fillingreducibleKlein bottle

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 2 , 01 June 2003 , pp. 265 - 267
Copyright
Copyright © Canadian Mathematical Society 2003

References

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