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Bounds on exceptional Dehn filling II

Ian Agol
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 2000
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
Ian Agol
Department of Mathematics
University of California
Berkeley, CA 94720-3840
USA