Geometry & Topology Volume 17, issue 5 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Editorial Procedure

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

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