Nonhyperbolic Dehn fillings on hyperbolic 3-manifolds
Geometric Topology
2016-09-07 v1
Abstract
We give three infinite families of examples of nonhyperbolic Dehn fillings on hyperbolic manifolds. A manifold in the first family admits two Dehn fillings of distance two apart, one of which is toroidal and annular, and the other is reducible and -reducible. A manifold in the second family has boundary consisting of two tori, and admits two reducible Dehn fillings. A manifold in the third family admits a toroidal filling and a reducible filling with distance 3 apart. These examples establish the virtual bounds for distances between certain types of nonhyperbolic Dehn fillings.
Cite
@article{arxiv.math/9708206,
title = {Nonhyperbolic Dehn fillings on hyperbolic 3-manifolds},
author = {Mario Eudave-Muñoz and Ying-Qing Wu},
journal= {arXiv preprint arXiv:math/9708206},
year = {2016}
}