Volume 13, issue 1 (2009)

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

Volume 26
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476

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
Cannon–Thurston maps for pared manifolds of bounded geometry

Mahan Mj

Geometry & Topology 13 (2009) 189–245
Bibliography
1 W Abikoff, Kleinian groups—geometrically finite and geometrically perverse, from: "Geometry of group representations (Boulder, CO, 1987)", Contemp. Math. 74, Amer. Math. Soc. (1988) 1 MR957510
2 J W Anderson, B Maskit, On the local connectivity of limit set of Kleinian groups, Complex Variables Theory Appl. 31 (1996) 177 MR1423249
3 M Bestvina, Geometric group theory problem list (2004)
4 M Bestvina, M Feighn, A combination theorem for negatively curved groups, J. Differential Geom. 35 (1992) 85 MR1152226
5 M Bestvina, M Feighn, M Handel, Laminations, trees, and irreducible automorphisms of free groups, Geom. Funct. Anal. 7 (1997) 215 MR1445386
6 M Bestvina, M Handel, Train tracks and automorphisms of free groups, Ann. of Math. $(2)$ 135 (1992) 1 MR1147956
7 F Bonahon, Bouts des variétés hyperboliques de dimension $3$, Ann. of Math. $(2)$ 124 (1986) 71 MR847953
8 B H Bowditch, Relatively hyperbolic groups, preprint, Southampton (1997)
9 B H Bowditch, A topological characterisation of hyperbolic groups, J. Amer. Math. Soc. 11 (1998) 643 MR1602069
10 B H Bowditch, Convergence groups and configuration spaces, from: "Geometric group theory down under (Canberra, 1996)" (editors J Cossey, C F Miller, W D Neumann, M Shapiro), de Gruyter (1999) 23 MR1714838
11 B H Bowditch, Stacks of hyperbolic spaces and ends of 3 manifolds, preprint, Southampton (2002)
12 B H Bowditch, The Cannon–Thurston map for punctured-surface groups, Math. Z. 255 (2007) 35 MR2262721
13 J F Brock, Iteration of mapping classes and limits of hyperbolic 3–manifolds, Invent. Math. 143 (2001) 523 MR1817644
14 J F Brock, R D Canary, Y N Minsky, The Classification of Kleinian surface groups II: The Ending Lamination Conjecture, preprint (2004)
15 J W Cannon, W P Thurston, Group invariant Peano curves, Geom. Topol. 11 (2007) 1315 MR2326947
16 M Coornaert, T Delzant, A Papadopoulos, Géométrie et théorie des groupes, Lecture Notes in Mathematics 1441, Springer (1990) MR1075994
17 B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810 MR1650094
18 W J Floyd, Group completions and limit sets of Kleinian groups, Invent. Math. 57 (1980) 205 MR568933
19 É Ghys, P d l Harpe, editors, Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Mathematics 83, Birkhäuser (1990) MR1086648
20 M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
21 M Gromov, Metric structures for Riemannian and non-Riemannian spaces, Progress in Mathematics 152, Birkhäuser (1999) MR1699320
22 J G Hocking, G S Young, Topology, Addison–Wesley Publishing Co., Reading, MA-London (1961) MR0125557
23 E Klarreich, Semiconjugacies between Kleinian group actions on the Riemann sphere, Amer. J. Math. 121 (1999) 1031 MR1713300
24 C T McMullen, Amenability, Poincaré series and quasiconformal maps, Invent. Math. 97 (1989) 95 MR999314
25 C T McMullen, Iteration on Teichmüller space, Invent. Math. 99 (1990) 425 MR1031909
26 C T McMullen, Local connectivity, Kleinian groups and geodesics on the blowup of the torus, Invent. Math. 146 (2001) 35 MR1859018
27 Y N Minsky, Teichmüller geodesics and ends of hyperbolic $3$-manifolds, Topology 32 (1993) 625 MR1231968
28 Y N Minsky, On rigidity, limit sets, and end invariants of hyperbolic $3$–manifolds, J. Amer. Math. Soc. 7 (1994) 539 MR1257060
29 Y N Minsky, The classification of punctured-torus groups, Ann. of Math. $(2)$ 149 (1999) 559 MR1689341
30 Y N Minsky, Bounded geometry for Kleinian groups, Invent. Math. 146 (2001) 143 MR1859020
31 Y N Minsky, The classification of Kleinian surface groups I: Models and Bounds, preprint (2002)
32 Y N Minsky, End invariants and the classification of hyperbolic 3–manifolds, from: "Current developments in mathematics, 2002", Int. Press, Somerville, MA (2003) 181 MR2062319
33 M Mitra, PhD thesis, UC Berkeley (1997)
34 M Mitra, Ending laminations for hyperbolic group extensions, Geom. Funct. Anal. 7 (1997) 379 MR1445392
35 M Mitra, Cannon–Thurston maps for hyperbolic group extensions, Topology 37 (1998) 527 MR1604882
36 M Mitra, Cannon–Thurston maps for trees of hyperbolic metric spaces, J. Differential Geom. 48 (1998) 135 MR1622603
37 H Miyachi, Semiconjugacies between actions of topologically tame Kleinian groups, preprint (2002)
38 M Mj, Cannon–Thurston Maps for Surface Groups I: Amalgamation Geometry and Split Geometry (2005) arXiv:math.GT/0512539
39 M Mj, Cannon–Thurston maps, i–bounded geometry and a theorem of McMullen (2005) arXiv:math.GT/0511041
40 M Mj, Cannon–Thurston Maps for Surface Groups II: Split Geometry and the Minsky Model (2006) arXiv:math.GT0607509
41 M Mj, A Pal, Relative Hyperbolicity, Trees of Spaces and Cannon–Thurston Maps (2007) arXiv:0708.3578
42 R M Myers, From Beowulf to Virginia Woolf: An astounding and wholly unauthorized history of English literature, Bobbs–Merrill, Indianapolis (1952)
43 A Pal, Relative Hyperbolic Extensions of Groups and Cannon–Thurston Maps (2008) arXiv:0801.0933
44 G P Scott, Compact submanifolds of $3$–manifolds, J. London Math. Soc. $(2)$ 7 (1973) 246 MR0326737
45 J Souto, Cannon–Thurston maps for thick free groups, preprint (2006)
46 W P Thurston, The geometry and topology of 3–manifolds, Princeton University notes (1980)
47 W P Thurston, Hyperbolic structures on $3$–manifolds. I. Deformation of acylindrical manifolds, Ann. of Math. $(2)$ 124 (1986) 203 MR855294
48 W P Thurston, Hyperbolic structures on $3$–manifolds. III. Deformation of 3–manifolds with incompressible boundary, preprint (1986)
49 A Yaman, A topological characterisation of relatively hyperbolic groups, J. Reine Angew. Math. 566 (2004) 41 MR2039323