Volume 14, issue 4 (2010)

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Bounds on exceptional Dehn filling II

Ian Agol

Geometry & Topology 14 (2010) 1921–1940
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
Primary: 57M50
Secondary: 30F40