Geometry & Topology 14 (2010) 1921–1940

DOI: 10.2140/gt.2010.14.1921

Abstract

We show that there are at most finitely many one cusped orientable hyperbolic 3–manifolds which have more than eight nonhyperbolic Dehn fillings. Moreover, we show that determining these finitely many manifolds is decidable.

Keywords

hyperbolic, Dehn filling

Mathematical Subject Classification

Primary: 57M50

Secondary: 30F40

References

Publication

Received: 19 March 2008
Revised: 12 June 2010
Accepted: 9 June 2010
Published: 10 August 2010
Proposed: Cameron Gordon
Seconded: Joan Birman, David Gabai

Authors