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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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Official URL: http://dx.doi.org/10.2140/pjm.2014.269.269

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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:
DateEvent
26 July 2014Published
28 June 2014Accepted
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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