The curve complex and covers via hyperbolic 3-manifolds
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Rafi and Schleimer recently proved that the natural relation between curve complexes induced by a covering map between two surfaces is a quasi-isometric embedding. We offer another proof of this result using a distance estimate via hyperbolic 3-manifolds.
KeywordsCurve complex Covering spaces Hyperbolic 3-manifolds Quasi-isometric embedding
Mathematics Subject Classification (2000)57M50 20F65 32G15
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