Quasi-Fuchsian Surfaces In Hyperbolic Link Complements

Joseph D. Masters; Xingru Zhang

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arXiv · 0909.4501

Quasi-Fuchsian Surfaces In Hyperbolic Link Complements

Joseph D. Masters·Xingru Zhang

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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.

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Joseph D. Masters, Xingru Zhang. 2009-09-24. Quasi-Fuchsian Surfaces In Hyperbolic Link Complements. https://arxiv.org/abs/0909.4501

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