Algebraic & Geometric Topology Volume 18, issue 4 (2018)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Algebraic ending laminations and quasiconvexity

Mahan Mj and Kasra Rafi

Algebraic & Geometric Topology 18 (2018) 1883–1916

DOI: 10.2140/agt.2018.18.1883

Bibliography

1	M Bestvina, ℝ–trees in topology, geometry, and group theory, from: "Handbook of geometric topology" (editors R J Daverman, R B Sher), North-Holland (2002) 55 MR1886668
2	M Bestvina, M Feighn, A combination theorem for negatively curved groups, J. Differential Geom. 35 (1992) 85 MR1152226
3	M Bestvina, M Feighn, Hyperbolicity of the complex of free factors, Adv. Math. 256 (2014) 104 MR3177291
4	M Bestvina, M Feighn, M Handel, Laminations, trees, and irreducible automorphisms of free groups, Geom. Funct. Anal. 7 (1997) 215 MR1445386
5	M Bestvina, P Reynolds, The boundary of the complex of free factors, Duke Math. J. 164 (2015) 2213 MR3385133
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) 1250016, 66 MR2922380
8	J W Cannon, W P Thurston, Group invariant Peano curves, Geom. Topol. 11 (2007) 1315 MR2326947
9	T Coulbois, A Hilion, M Lustig, Non-unique ergodicity, observers’ topology and the dual algebraic lamination for ℝ–trees, Illinois J. Math. 51 (2007) 897 MR2379729
10	T Coulbois, A Hilion, M Lustig, ℝ–trees and laminations for free groups, I : Algebraic laminations, J. Lond. Math. Soc. 78 (2008) 723 MR2456901
11	T Coulbois, A Hilion, M Lustig, ℝ–trees and laminations for free groups, II : The dual lamination of an ℝ–tree, J. Lond. Math. Soc. 78 (2008) 737 MR2456902
12	T Coulbois, A Hilion, P Reynolds, Indecomposable F_N–trees and minimal laminations, Groups Geom. Dyn. 9 (2015) 567 MR3356976
13	M Culler, K Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986) 91 MR830040
14	S Dowdall, I Kapovich, S J Taylor, Cannon–Thurston maps for hyperbolic free group extensions, Israel J. Math. 216 (2016) 753 MR3557464
15	S Dowdall, R P Kent IV, C J Leininger, Pseudo-Anosov subgroups of fibered 3–manifold groups, Groups Geom. Dyn. 8 (2014) 1247 MR3314946
16	S Dowdall, S J Taylor, The co-surface graph and the geometry of hyperbolic free group extensions, J. Topol. 10 (2017) 447 MR3653318
17	S Dowdall, S J Taylor, Hyperbolic extensions of free groups, Geom. Topol. 22 (2018) 517 MR3720349
18	B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810 MR1650094
19	B Farb, L Mosher, Convex cocompact subgroups of mapping class groups, Geom. Topol. 6 (2002) 91 MR1914566
20	M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
21	M Gromov, Asymptotic invariants of infinite groups, from: "Geometric group theory, 2" (editors G A Niblo, M A Roller), London Math. Soc. Lect. Note Ser. 182, Cambridge Univ. Press (1993) 1 MR1253544
22	V Guirardel, Actions of finitely generated groups on ℝ–trees, Ann. Inst. Fourier (Grenoble) 58 (2008) 159 MR2401220
23	U Hamenstädt, Word hyperbolic extensions of surface groups, preprint (2005) arXiv:math/0505244
24	U Hamenstädt, S Hensel, Stability in outer space, preprint (2014) arXiv:1411.2281
25	G C Hruska, D T Wise, Packing subgroups in relatively hyperbolic groups, Geom. Topol. 13 (2009) 1945 MR2497315
26	I Kapovich, M Lustig, Intersection form, laminations and currents on free groups, Geom. Funct. Anal. 19 (2010) 1426 MR2585579
27	I Kapovich, M Lustig, Cannon–Thurston fibers for iwip automorphisms of F_N, J. Lond. Math. Soc. 91 (2015) 203 MR3335244
28	R P Kent IV, C J Leininger, Shadows of mapping class groups: capturing convex cocompactness, Geom. Funct. Anal. 18 (2008) 1270 MR2465691
29	E Klarreich, The boundary at infinity of the curve complex and the relative Teichmüller space, preprint (1999) arXiv:1803.10339
30	H Masur, Two boundaries of Teichmüller space, Duke Math. J. 49 (1982) 183 MR650376
31	H Masur, Y N Minsky, Geometry of the complex of curves, II : Hierarchical structure, Geom. Funct. Anal. 10 (2000) 902 MR1791145
32	Y N Minsky, Teichmüller geodesics and ends of hyperbolic 3–manifolds, Topology 32 (1993) 625 MR1231968
33	Y N Minsky, On rigidity, limit sets, and end invariants of hyperbolic 3–manifolds, J. Amer. Math. Soc. 7 (1994) 539 MR1257060
34	Y N Minsky, Bounded geometry for Kleinian groups, Invent. Math. 146 (2001) 143 MR1859020
35	M Mitra, Ending laminations for hyperbolic group extensions, Geom. Funct. Anal. 7 (1997) 379 MR1445392
36	M Mitra, Cannon–Thurston maps for hyperbolic group extensions, Topology 37 (1998) 527 MR1604882
37	M Mitra, On a theorem of Scott and Swarup, Proc. Amer. Math. Soc. 127 (1999) 1625 MR1610757
38	M Mj, Cannon–Thurston maps and bounded geometry, from: "Teichmüller theory and moduli problems" (editors I Biswas, R S Kulkarni, S Mitra), Ramanujan Math. Soc. Lect. Notes Ser. 10, Ramanujan Math. Soc. (2010) 489 MR2667569
39	M Mj, Ending laminations and Cannon–Thurston maps, Geom. Funct. Anal. 24 (2014) 297 MR3177384
40	M Mj, Cannon–Thurston maps for Kleinian groups, Forum Math. Pi 5 (2017) MR3652816
41	M Mj, A Pal, Relative hyperbolicity, trees of spaces and Cannon–Thurston maps, Geom. Dedicata 151 (2011) 59 MR2780738
42	M Mj, P Sardar, A combination theorem for metric bundles, Geom. Funct. Anal. 22 (2012) 1636 MR3000500
43	L Mosher, Hyperbolic extensions of groups, J. Pure Appl. Algebra 110 (1996) 305 MR1393118
44	A Pal, Relatively hyperbolic extensions of groups and Cannon–Thurston maps, Proc. Indian Acad. Sci. Math. Sci. 120 (2010) 57 MR2654898
45	K Rafi, Hyperbolicity in Teichmüller space, Geom. Topol. 18 (2014) 3025 MR3285228
46	P Reynolds, On indecomposable trees in the boundary of outer space, Geom. Dedicata 153 (2011) 59 MR2819663
47	P Reynolds, Reducing systems for very small trees, preprint (2012) arXiv:1211.3378
48	G P Scott, G A Swarup, Geometric finiteness of certain Kleinian groups, Proc. Amer. Math. Soc. 109 (1990) 765 MR1013981
49	P Scott, Subgroups of surface groups are almost geometric, J. London Math. Soc. 17 (1978) 555 MR0494062
50	W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)