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EXAMPLES OF REDUCIBLE AND FINITE DEHN FILLINGS

SUNGMO KANG

Department of Mathematics, 301 Carney Hall, Boston College, Chestnut Hill, MA 02467-3806, USA

https://doi.org/10.1142/S0218216510008030Cited by:3 (Source: Crossref)

Abstract

If a hyperbolic 3-manifold M admits a reducible and a finite Dehn filling, the distance between the filling slopes is known to be 1. This has been proved recently by Boyer, Gordon and Zhang. The first example of a manifold with two such fillings was given by Boyer and Zhang. In this paper, we give examples of hyperbolic manifolds admitting a reducible Dehn filling and a finite Dehn filling of every type: cyclic, dihedral, tetrahedral, octahedral and icosahedral.

Keywords:

AMSC: 57M25, 57M27

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