Algebraic & Geometric Topology Volume 15, issue 5 (2015)

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Convex cocompactness and stability in mapping class groups

Matthew Gentry Durham and Samuel J Taylor

Algebraic & Geometric Topology 15 (2015) 2837–2857

DOI: 10.2140/agt.2015.15.2839

Bibliography

1	J A Behrstock, Asymptotic geometry of the mapping class group and Teichmüller space, Geom. Topol. 10 (2006) 1523 MR2255505
2	J A Behrstock, Y N Minsky, Dimension and rank for mapping class groups, Ann. of Math. 167 (2008) 1055 MR2415393
3	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundl. Math. Wissen. 319, Springer (1999) MR1744486
4	J Brock, H Masur, Y Minsky, Asymptotics of Weil–Petersson geodesics, II: Bounded geometry and unbounded entropy, Geom. Funct. Anal. 21 (2011) 820 MR2827011
5	S Dowdall, R P Kent IV, C J Leininger, Pseudo-Anosov subgroups of fibered 3–manifold groups, Groups Geom. Dyn. 8 (2014) 1247 MR3314946
6	C Druţu, S Mozes, M Sapir, Divergence in lattices in semisimple Lie groups and graphs of groups, Trans. Amer. Math. Soc. 362 (2010) 2451 MR2584607
7	M Duchin, K Rafi, Divergence of geodesics in Teichmüller space and the mapping class group, Geom. Funct. Anal. 19 (2009) 722 MR2563768
8	B Farb, Some problems on mapping class groups and moduli space, from: "Problems on mapping class groups and related topics" (editor B Farb), Proc. Sympos. Pure Math. 74, Amer. Math. Soc. (2006) 11 MR2264130
9	B Farb, D Margalit, A primer on mapping class groups, Princeton Mathematical Series 49, Princeton Univ. Press (2012) MR2850125
10	B Farb, L Mosher, Convex cocompact subgroups of mapping class groups, Geom. Topol. 6 (2002) 91 MR1914566
11	U Hamenstädt, Word hyperbolic extensions of surface groups, preprint arXiv:0505244
12	W J Harvey, Boundary structure of the modular group, from: "Riemann surfaces and related topics" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 245 MR624817
13	R P Kent IV, C J Leininger, Shadows of mapping class groups: capturing convex cocompactness, Geom. Funct. Anal. 18 (2008) 1270 MR2465691
14	R P Kent IV, C J Leininger, S Schleimer, Trees and mapping class groups, J. Reine Angew. Math. 637 (2009) 1 MR2599078
15	J Mangahas, S J Taylor, Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups, preprint arXiv:1306.5278
16	H A Masur, Y N Minsky, Geometry of the complex of curves, I: Hyperbolicity, Invent. Math. 138 (1999) 103 MR1714338
17	H A Masur, Y N Minsky, Geometry of the complex of curves, II: Hierarchical structure, Geom. Funct. Anal. 10 (2000) 902 MR1791145
18	H A Masur, Y N Minsky, Unstable quasi-geodesics in Teichmüller space, from: "In the tradition of Ahlfors and Bers" (editors I Kra, B Maskit), Contemp. Math. 256, Amer. Math. Soc. (2000) 239 MR1759683
19	H Min, Hyperbolic graphs of surface groups, Algebr. Geom. Topol. 11 (2011) 449 MR2783234
20	Y Minsky, The classification of Kleinian surface groups, I: Models and bounds, Ann. of Math. 171 (2010) 1 MR2630036
21	K Rafi, Hyperbolicity in Teichmüller space, Geom. Topol. 18 (2014) 3025
22	K Rafi, S Schleimer, Covers and the curve complex, Geom. Topol. 13 (2009) 2141 MR2507116