Bounds on exceptional Dehn filling II

Ian Agol

doi:10.2140/gt.2010.14.1921

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Home > Journals > Geom. Topol. > Volume 14 > Issue 4 > Article

2010 Bounds on exceptional Dehn filling II

Ian Agol

Geom. Topol. 14(4): 1921-1940 (2010). DOI: 10.2140/gt.2010.14.1921

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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.