On the number of hyperbolic Dehn fillings of a given volume
arXiv:1812.04788
Abstract
Let M be a 1-cusped hyperbolic 3-manifold whose cusp shape is quadratic. We show that there exists c=c(M) such that the number of hyperbolic Dehn fillings of M with any given volume v is uniformly bounded by c.
21 pages, incorporated referee's comments. To appear in Trans. Amer. Math. Soc