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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, 161 . pp. 233-237. doi:10.1007/s10711-012-9703-7 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: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Geometriae Dedicata | ||||||
Publisher: | Springer | ||||||
ISSN: | 0046-5755 | ||||||
Official Date: | December 2012 | ||||||
Dates: |
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Volume: | 161 | ||||||
Page Range: | pp. 233-237 | ||||||
DOI: | 10.1007/s10711-012-9703-7 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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