Algebraic & Geometric Topology Volume 14, issue 6 (2014)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Uniform hyperbolicity of the curve graph via surgery sequences

Matt Clay, Kasra Rafi and Saul Schleimer

Algebraic & Geometric Topology 14 (2014) 3325–3344

DOI: 10.2140/agt.2014.14.3325

Bibliography

1	T Aougab, Uniform hyperbolicity of the graphs of curves, Geom. Topol. 17 (2013) 2855 MR3190300
2	J Behrstock, B Kleiner, Y N Minsky, L Mosher, Geometry and rigidity of mapping class groups, Geom. Topol. 16 (2012) 781 MR2928983
3	M Bestvina, M Feighn, Hyperbolicity of the complex of free factors, Adv. Math. 256 (2014) 104 MR3177291
4	B H Bowditch, Intersection numbers and the hyperbolicity of the curve complex, J. Reine Angew. Math. 598 (2006) 105 MR2270568
5	B H Bowditch, Uniform hyperbolicity of the curve graphs, Pacific J. Math. 269 (2014) 269 MR3238474
6	J F Brock, R D Canary, Y N Minsky, The classification of Kleinian surface groups, II: The ending lamination conjecture, Ann. of Math. 176 (2012) 1 MR2925381
7	J F Brock, H A Masur, Y N Minsky, Asymptotics of Weil–Petersson geodesic, I: Ending laminations, recurrence and flows, Geom. Funct. Anal. 19 (2010) 1229 MR2585573
8	U Hamenstädt, Geometry of the complex of curves and of Teichmüller space, from: "Handbook of Teichmüller theory, Vol. I" (editor A Papadopoulos), IRMA Lect. Math. Theor. Phys. 11, Eur. Math. Soc. (2007) 447 MR2349677
9	M Handel, L Mosher, The free splitting complex of a free group, I: Hyperbolicity, Geom. Topol. 17 (2013) 1581 MR3073931
10	J L Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math. 84 (1986) 157 MR830043
11	A Hatcher, On triangulations of surfaces, Topology Appl. 40 (1991) 189 MR1123262
12	S Hensel, P Przytycki, R C H Webb, Slim unicorns and uniform hyperbolicity for arc graphs and curve graphs, arXiv:1301.5577
13	A Hilion, C Horbez, The hyperbolicity of the sphere complex via surgery paths, arXiv:1210.6183
14	H A Masur, Y N Minsky, Geometry of the complex of curves, I: Hyperbolicity, Invent. Math. 138 (1999) 103 MR1714338
15	H A Masur, Y N Minsky, Geometry of the complex of curves, II: Hierarchical structure, Geom. Funct. Anal. 10 (2000) 902 MR1791145
16	Y N Minsky, The classification of punctured-torus groups, Ann. of Math. 149 (1999) 559 MR1689341
17	Y N Minsky, The classification of Kleinian surface groups, I: Models and bounds, Ann. of Math. 171 (2010) 1 MR2630036
18	K Rafi, Hyperbolicity in Teichmüller space, arXiv:1011.6004
19	K Rafi, A characterization of short curves of a Teichmüller geodesic, Geom. Topol. 9 (2005) 179 MR2115672
20	K Rafi, S Schleimer, Covers and the curve complex, Geom. Topol. 13 (2009) 2141 MR2507116