Volume 21, issue 2 (2017)

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

Volume 25
Issue 6, 2713–3256
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546

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
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
Limits of limit sets, II: Geometrically infinite groups

Mahan Mj and Caroline Series

Geometry & Topology 21 (2017) 647–692
Bibliography
1 I Agol, Tameness of hyperbolic 3–manifolds, preprint (2004) arXiv:math.GT/0405568v1
2 J W Anderson, R D Canary, Algebraic limits of Kleinian groups which rearrange the pages of a book, Invent. Math. 126 (1996) 205 MR1411128
3 J W Anderson, R D Canary, Cores of hyperbolic 3–manifolds and limits of Kleinian groups, Amer. J. Math. 118 (1996) 745 MR1400058
4 J W Anderson, R D Canary, D McCullough, The topology of deformation spaces of Kleinian groups, Ann. of Math. 152 (2000) 693 MR1815699
5 F Bonahon, Bouts des variétés hyperboliques de dimension 3, Ann. of Math. 124 (1986) 71 MR847953
6 B H Bowditch, The Cannon–Thurston map for punctured-surface groups, Math. Z. 255 (2007) 35 MR2262721
7 B H Bowditch, Relatively hyperbolic groups, Internat. J. Algebra Comput. 22 (2012) 1 MR2922380
8 B H Bowditch, Stacks of hyperbolic spaces and ends of 3–manifolds, from: "Geometry and topology down under" (editors C D Hodgson, W H Jaco, M G Scharlemann, S Tillmann), Contemp. Math. 597, Amer. Math. Soc. (2013) 65 MR3186670
9 J F Brock, Iteration of mapping classes and limits of hyperbolic 3–manifolds, Invent. Math. 143 (2001) 523 MR1817644
10 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
11 D Calegari, D Gabai, Shrinkwrapping and the taming of hyperbolic 3–manifolds, J. Amer. Math. Soc. 19 (2006) 385 MR2188131
12 R D Canary, D B A Epstein, P Green, Notes on notes of Thurston, from: "Analytical and geometric aspects of hyperbolic space" (editor D B A Epstein), London Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press (1987) 3 MR903850
13 R D Canary, Y N Minsky, On limits of tame hyperbolic 3–manifolds, J. Differential Geom. 43 (1996) 1 MR1424418
14 J W Cannon, W P Thurston, Group invariant Peano curves, Geom. Topol. 11 (2007) 1315 MR2326947
15 D B A Epstein, A Marden, Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, from: "Analytical and geometric aspects of hyperbolic space" (editor D B A Epstein), London Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press (1987) 113 MR903852
16 R A Evans, Deformation spaces of hyperbolic 3–manifolds : strong convergence and tameness, PhD thesis, University of Michigan (2000) MR2700410
17 R Evans, Weakly type-preserving sequences and strong convergence, Geom. Dedicata 108 (2004) 71 MR2112665
18 B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810 MR1650094
19 A Fathi, F Laudenbach, V Poenaru, editors, Travaux de Thurston sur les surfaces, 66, Soc. Math. France (1979) 284 MR568308
20 W J Floyd, Group completions and limit sets of Kleinian groups, Invent. Math. 57 (1980) 205 MR568933
21 M Kapovich, Hyperbolic manifolds and discrete groups, 183, Birkhäuser (2001) MR1792613
22 A Marden, Outer circles : an introduction to hyperbolic 3–manifolds, Cambridge Univ. Press (2007) MR2355387
23 D McCullough, A Miller, G A Swarup, Uniqueness of cores of noncompact 3–manifolds, J. London Math. Soc. 32 (1985) 548 MR825931
24 C T McMullen, Renormalization and 3–manifolds which fiber over the circle, 142, Princeton Univ. Press (1996) MR1401347
25 Y N Minsky, Teichmüller geodesics and ends of hyperbolic 3–manifolds, Topology 32 (1993) 625 MR1231968
26 Y N Minsky, On rigidity, limit sets, and end invariants of hyperbolic 3–manifolds, J. Amer. Math. Soc. 7 (1994) 539 MR1257060
27 Y N Minsky, End invariants and the classification of hyperbolic 3–manifolds, from: "Current developments in mathematics, 2002" (editors D Jerison, G Lustig, B Mazur, T Mrowka, W Schmid, R Stanley, S T Yau), International Press (2003) 181 MR2062319
28 Y Minsky, The classification of Kleinian surface groups, I : Models and bounds, Ann. of Math. 171 (2010) 1 MR2630036
29 M Mitra, Cannon–Thurston maps for trees of hyperbolic metric spaces, J. Differential Geom. 48 (1998) 135 MR1622603
30 H Miyachi, Moduli of continuity of Cannon–Thurston maps, from: "Spaces of Kleinian groups" (editors Y N Minsky, M Sakuma, C Series), London Math. Soc. Lecture Note Ser. 329, Cambridge Univ. Press (2006) 121 MR2258747
31 M Mj, Motions of limit sets: A survey, preprint
32 M Mj, Cannon–Thurston maps for pared manifolds of bounded geometry, Geom. Topol. 13 (2009) 189 MR2469517
33 M Mj, Cannon–Thurston maps, i-bounded geometry and a theorem of McMullen, from: "Actes du Séminaire de Théorie Spectrale et Géometrie", Sémin. Théor. Spectr. Géom. 28, Univ. Grenoble I (2009–2010) 63 MR2848212
34 M Mj, Cannon–Thurston maps and bounded geometry, from: "Teichmüller theory and moduli problem" (editors I Biswas, R S Kulkarni, S Mitra), Ramanujan Math. Soc. Lect. Notes Ser. 10, Ramanujan Math. Soc. (2010) 489 MR2667569
35 M Mj, Cannon–Thurston maps for Kleinian groups, preprint (2010) arXiv:1002.0996
36 M Mj, Cannon–Thurston maps for surface groups, Ann. of Math. 179 (2014) 1 MR3126566
37 M Mj, Ending laminations and Cannon–Thurston maps, Geom. Funct. Anal. 24 (2014) 297 MR3177384
38 M Mj, C Series, Limits of limit sets, I, Geom. Dedicata 167 (2013) 35 MR3128770
39 J P Otal, Le théorème d’hyperbolisation pour les variétés fibrées de dimension 3, 235, Soc. Math. France (1996) MR1402300
40 W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
41 W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357 MR648524