The curve complex and covers via hyperbolic 3-manifolds

Details The curve complex and covers via hyperbolic 3-manifolds The curve complex and covers via hyperbolic 3-manifolds

2011-04-18

arxiv.org/abs/1104.3492v1

Mathematics

Geometric Topology

5 pages

Scientific paper

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.

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