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REDUCING DEHN FILLINGS AND SMALL SURFACES

Published online by Cambridge University Press:  19 December 2005

SANGYOP LEE ,
SEUNGSANG OH  and
MASAKAZU TERAGAITO
SANGYOP LEE
Affiliation:
School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Dongdaemun-gu, Seoul 130-012, Korea, slee@kias.re.kr
SEUNGSANG OH
Affiliation:
Department of Mathematics, Korea University, 1 Anam-dong, Sungbuk-ku, Seoul 136-701, Korea, seungsang@korea.ac.kr
MASAKAZU TERAGAITO
Affiliation:
Department of Mathematics and, Mathematics Education, Hiroshima University, Kagamiyama 1-1-1, Higashi-Hiroshima 739-8524, Japan, teragai@hiroshima-u.ac.jp
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Abstract

In this paper we investigate the distances between Dehn fillings on a hyperbolic 3-manifold that yield 3-manifolds containing essential small surfaces including non-orientable surfaces. In particular, we study the situations where one filling creates an essential sphere or projective plane, and the other creates an essential sphere, projective plane, annulus, Möbius band, torus or Klein bottle, for all eleven pairs of such non-hyperbolic manifolds.

Keywords

57M50
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 92 , Issue 1 , January 2006 , pp. 203 - 223
Copyright
2006 London Mathematical Society

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