UNIFORM HYPERBOLICITY OF THE CURVE GRAPHS

被引：56

作者：

Bowditch, Brian H. ^{[1
]}

机构：

[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 269卷 / 02期

关键词：

uniform hyperbolicity; curve graph; surface; GEOMETRY; COMPLEX;

D O I：

10.2140/pjm.2014.269.269

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：269 / 280

页数：12

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