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Covers and the curve complex
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Rafi, Kasra and Schleimer, Saul (2009) Covers and the curve complex. Geometry & Topology, Vol.13 (No.4). pp. 2141-2162. doi:10.2140/gt.2009.13.2141 ISSN 1364-0380.
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Official URL: http://dx.doi.org/10.2140/gt.2009.13.2141
Abstract
We provide the first nontrivial examples of quasi-isometric embeddings between curve complexes; these are induced by orbifold covers. This leads to new quasi-isometric embeddings between mapping class groups. As a corollary, in the mapping class group normalizers of finite subgroups are undistorted.
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: | Geometry & Topology | ||||
Publisher: | Geometry & Topology Publications | ||||
ISSN: | 1364-0380 | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol.13 | ||||
Number: | No.4 | ||||
Number of Pages: | 22 | ||||
Page Range: | pp. 2141-2162 | ||||
DOI: | 10.2140/gt.2009.13.2141 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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