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The curve complex and covers via hyperbolic 3-manifolds
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Tang, Robert (2012) The curve complex and covers via hyperbolic 3-manifolds. Geometriae Dedicata . ISSN 0046-5755
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Official URL: http://dx.doi.org/10.1007/s10711-012-9703-7
Abstract
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.
| Item Type: | Submitted Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Geometriae Dedicata |
| Publisher: | Springer |
| ISSN: | 0046-5755 |
| Date: | February 2012 |
| Identification Number: | 10.1007/s10711-012-9703-7 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/47021 |
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