Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-03T02:58:11.151Z Has data issue: false hasContentIssue false
  • English
  • Français

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, [email protected]
SEUNGSANG OH
Affiliation:
Department of Mathematics, Korea University, 1 Anam-dong, Sungbuk-ku, Seoul 136-701, Korea, [email protected]
MASAKAZU TERAGAITO
Affiliation:
Department of Mathematics and, Mathematics Education, Hiroshima University, Kagamiyama 1-1-1, Higashi-Hiroshima 739-8524, Japan, [email protected]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)