Volume 21, issue 1 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 27
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Amalgam Anosov representations

Richard D Canary, Michelle Lee and Matthew Stover

Appendix: Richard D Canary, Michelle Lee, Andrés Sambarino and Matthew Stover

Geometry & Topology 21 (2017) 215–251
Bibliography
1 Y Benoist, Actions propres sur les espaces homogènes réductifs, Ann. of Math. 144 (1996) 315 MR1418901
2 Y Benoist, Propriétés asymptotiques des groupes linéaires, Geom. Funct. Anal. 7 (1997) 1 MR1437472
3 M Bestvina, M Feighn, A combination theorem for negatively curved groups, J. Differential Geom. 35 (1992) 85 MR1152226
4 B H Bowditch, Cut points and canonical splittings of hyperbolic groups, Acta Math. 180 (1998) 145 MR1638764
5 M Bridgeman, R Canary, F Labourie, A Sambarino, The pressure metric for Anosov representations, Geom. Funct. Anal. 25 (2015) 1089 MR3385630
6 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
7 R D Canary, Dynamics on character varieties: a survey, from: "Handbook of group actions, II" (editors L Ji, A Papadopoulos, S T Yau), Adv. Lect. Math. 32, International Press (2015) 175 MR3382028
8 R D Canary, S Hersonsky, Ubiquity of geometric finiteness in boundaries of deformation spaces of hyperbolic 3–manifolds, Amer. J. Math. 126 (2004) 1193 MR2102392
9 R D Canary, P A Storm, Moduli spaces of hyperbolic 3–manifolds and dynamics on character varieties, Comment. Math. Helv. 88 (2013) 221 MR3008919
10 M Carette, The automorphism group of accessible groups, J. Lond. Math. Soc. 84 (2011) 731 MR2855799
11 C Champetier, Petite simplification dans les groupes hyperboliques, Ann. Fac. Sci. Toulouse Math. 3 (1994) 161 MR1283206
12 R Gitik, Ping-pong on negatively curved groups, J. Algebra 217 (1999) 65 MR1700476
13 W M Goldman, Mapping class group dynamics on surface group representations, from: "Problems on mapping class groups and related topics" (editor B Farb), Proc. Sympos. Pure Math. 74, Amer. Math. Soc. (2006) 189 MR2264541
14 M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
15 F Guéritaud, O Guichard, F Kassel, A Wienhard, Anosov representations and proper actions, Geom. Topol. 21 (2017) 485
16 O Guichard, A Wienhard, Anosov representations: domains of discontinuity and applications, Invent. Math. 190 (2012) 357 MR2981818
17 T Jørgensen, On discrete groups of Möbius transformations, Amer. J. Math. 98 (1976) 739 MR0427627
18 M Kapovich, Hyperbolic manifolds and discrete groups, 183, Birkhäuser (2001) MR1792613
19 M Kapovich, B Leeb, J Porti, Morse actions of discrete groups on symmetric space, preprint (2014) arXiv:1403.7671
20 F Klein, Neue Beiträge zur Riemann’schen Functionentheorie, Math. Ann. 21 (1883) 141 MR1510193
21 F Labourie, Anosov flows, surface groups and curves in projective space, Invent. Math. 165 (2006) 51 MR2221137
22 F Labourie, Cross ratios, Anosov representations and the energy functional on Teichmüller space, Ann. Sci. Éc. Norm. Supér. 41 (2008) 439 MR2482204
23 M Lee, Dynamics on the PSL(2, )–character variety of a compression body, Algebr. Geom. Topol. 14 (2014) 2149 MR3331612
24 M Lee, Dynamics on the PSL(2, )–character variety of a twisted I–bundle, Groups Geom. Dyn. 9 (2015) 187 MR3343351
25 G Levitt, Automorphisms of hyperbolic groups and graphs of groups, Geom. Dedicata 114 (2005) 49 MR2174093
26 J Marché, M Wolff, The modular action on PSL2()–characters in genus 2, Duke Math. J. 165 (2016) 371 MR3457677
27 I Mineyev, Flows and joins of metric spaces, Geom. Topol. 9 (2005) 403 MR2140987
28 Y N Minsky, On dynamics of Out(Fn) on PSL2() characters, Israel J. Math. 193 (2013) 47 MR3038545
29 J W Morgan, On Thurston’s uniformization theorem for three-dimensional manifolds, from: "The Smith conjecture" (editors J W Morgan, H Bass), Pure Appl. Math. 112, Academic Press (1984) 37 MR758464
30 J F Quint, L’indicateur de croissance des groupes de Schottky, Ergodic Theory Dynam. Systems 23 (2003) 249 MR1971205
31 Z Sela, Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank 1 Lie groups, II, Geom. Funct. Anal. 7 (1997) 561 MR1466338
32 J P Serre, Trees, Springer (1980) MR607504
33 J Souto, Ergodicity of the action of the mapping class group on a component of the character variety, in preparation
34 D Sullivan, Quasiconformal homeomorphisms and dynamics, II : Structural stability implies hyperbolicity for Kleinian groups, Acta Math. 155 (1985) 243 MR806415
35 J Tits, Free subgroups in linear groups, J. Algebra 20 (1972) 250 MR0286898