Geometry & Topology Volume 17, issue 5 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP journals

Uniform hyperbolicity of the graphs of curves

Tarik Aougab

Geometry & Topology 17 (2013) 2855–2875

DOI: 10.2140/gt.2013.17.2855

Bibliography

1	B H Bowditch, Uniform hyperbolicity of the curve graphs, To appear in Pacific J. Math.
2	B H Bowditch, Intersection numbers and the hyperbolicity of the curve complex, J. Reine Angew. Math. 598 (2006) 105 MR2270568
3	P Buser, Geometry and spectra of compact Riemann surfaces, Birkhäuser (2010) MR2742784
4	M T Clay, K Rafi, S Schleimer, Uniform hyperbolicity and geometric topology, In preparation
5	R Diestel, Graph theory, 173, Springer (2005) MR2159259
6	B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
7	S Fiorini, G Joret, D O Theis, D R Wood, Small minors in dense graphs, European J. Combin. 33 (2012) 1226 MR2904987
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., Zürich (2007) 447 MR2349677
9	S Hensel, P Przytycki, R Webb, Slim unicorns and uniform hyperbolicity for arc graphs and curve graphs arXiv:1301.5577
10	S P Kerckhoff, The asymptotic geometry of Teichmüller space, Topology 19 (1980) 23 MR559474
11	M Korkmaz, A Papadopoulos, On the arc and curve complex of a surface, Math. Proc. Cambridge Philos. Soc. 148 (2010) 473 MR2609303
12	B Maskit, Comparison of hyperbolic and extremal lengths, Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985) 381 MR802500
13	H A Masur, Y N Minsky, Geometry of the complex of curves, I : Hyperbolicity, Invent. Math. 138 (1999) 103 MR1714338
14	H A Masur, Y N Minsky, Quasiconvexity in the curve complex, from: "In the tradition of Ahlfors and Bers, III" (editors W Abikoff, A Haas), Contemp. Math. 355, Amer. Math. Soc. (2004) 309 MR2145071
15	Y N Minsky, Teichmüller geodesics and ends of hyperbolic 3–manifolds, Topology 32 (1993) 625 MR1231968
16	A Papadopoulos, Introduction to Teichmüller theory, old and new, from: "Handbook of Teichmüller theory, Vol. I", IRMA Lect. Math. Theor. Phys. 11, Eur. Math. Soc., Zürich (2007) 1 MR2349667
17	R C Penner, J L Harer, Combinatorics of train tracks, 125, Princeton Univ. Press (1992) MR1144770