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Uniform hyperbolicity of the curve graphs
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Bowditch, B. H. (2014) Uniform hyperbolicity of the curve graphs. Pacific Journal of Mathematics, 269 (2). pp. 269-280. doi:10.2140/pjm.2014.269.269
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WRAP-uniform-hyperbolicity-curve-graphs-Bowditch-2019.pdf - Accepted Version - Requires a PDF viewer. Download (444Kb) | Preview |
Official URL: http://dx.doi.org/10.2140/pjm.2014.269.269
Abstract
We show that there is a universal constant, k, such that the curve graph associated to any compact orientable surface is k-hyperbolic. Independent proofs of this have been given by Aougab, by Hensel, Przytycki and Webb, and by Clay, Rafi and Schleimer.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Geometry, Hyperbolic, Curves, Algebraic, Group theory | ||||||
| Journal or Publication Title: | Pacific Journal of Mathematics | ||||||
| Publisher: | University of California, Berkeley | ||||||
| ISSN: | 0030-8730 | ||||||
| Official Date: | 26 July 2014 | ||||||
| Dates: |
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| Volume: | 269 | ||||||
| Number: | 2 | ||||||
| Page Range: | pp. 269-280 | ||||||
| DOI: | 10.2140/pjm.2014.269.269 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access |
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