Quasi-Fuchsian Surfaces In Hyperbolic Link Complements

Details Quasi-Fuchsian Surfaces In Hyperbolic Link Complements Quasi-Fuchsian Surfaces In Hyperbolic Link Complements

2009-09-24

arxiv.org/abs/0909.4501v1

Mathematics

Geometric Topology

29 pages, 7 figures

Scientific paper

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.

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