Quasi-Fuchsian Surfaces In Hyperbolic Link Complements
Geometric Topology
2009-09-25 v1
Abstract
We show that every hyperbolic link complement contains closed quasi-Fuchsian surfaces. As a consequence, we obtain the result that on a hyperbolic link complement, if we remove from each cusp of the manifold a certain finite set of slopes, then all remaining Dehn fillings on the link complement yield manifolds with closed immersed incompressible surfaces.
Cite
@article{arxiv.0909.4501,
title = {Quasi-Fuchsian Surfaces In Hyperbolic Link Complements},
author = {Joseph D. Masters and Xingru Zhang},
journal= {arXiv preprint arXiv:0909.4501},
year = {2009}
}
Comments
29 pages, 7 figures