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We show that there are at most finitely many one cusped orientable hyperbolic –manifolds which have more than eight nonhyperbolic Dehn fillings. Moreover, we show that determining these finitely many manifolds is decidable.
Agol, Ian 1
@article{GT_2010_14_4_a1,
author = {Agol, Ian},
title = {Bounds on exceptional {Dehn} filling {II}},
journal = {Geometry & topology},
pages = {1921--1940},
publisher = {mathdoc},
volume = {14},
number = {4},
year = {2010},
doi = {10.2140/gt.2010.14.1921},
url = {http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.1921/}
}
Agol, Ian. Bounds on exceptional Dehn filling II. Geometry & topology, Tome 14 (2010) no. 4, pp. 1921-1940. doi : 10.2140/gt.2010.14.1921. http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.1921/
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