Geometry & Topology Volume 28, issue 6 (2024)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Thurston's bounded image theorem

Cyril Lecuire and Ken’ichi Ohshika

Geometry & Topology 28 (2024) 2971–2999

DOI: 10.2140/gt.2024.28.2971

Bibliography

1	J W Anderson, R D Canary, Cores of hyperbolic 3–manifolds and limits of Kleinian groups, Amer. J. Math. 118 (1996) 745 MR1400058
2	J Brock, K Bromberg, R Canary, C Lecuire, Convergence and divergence of Kleinian surface groups, J. Topol. 8 (2015) 811 MR3394317
3	J F Brock, K W Bromberg, R D Canary, Y N Minsky, Convergence properties of end invariants, Geom. Topol. 17 (2013) 2877 MR3190301
4	J F Brock, K W Bromberg, R D Canary, Y N Minsky, Windows, cores and skinning maps, Ann. Sci. École Norm. Sup. 53 (2020) 173 MR4093438
5	W H Jaco, P B Shalen, Seifert fibered spaces in 3–manifolds, 220, Amer. Math. Soc. (1979) MR0539411
6	K Johannson, Homotopy equivalences of 3–manifolds with boundaries, 761, Springer (1979) MR0551744
7	M Kapovich, Hyperbolic manifolds and discrete groups, 183, Birkhäuser (2001) MR1792613
8	R P Kent IV, Skinning maps, Duke Math. J. 151 (2010) 279 MR2598379
9	A Marden, The geometry of finitely generated Kleinian groups, Ann. of Math. 99 (1974) 383 MR0349992
10	B Maskit, Kleinian groups, 287, Springer (1988) MR0959135
11	H A Masur, Y N Minsky, Geometry of the complex of curves, I : Hyperbolicity, Invent. Math. 138 (1999) 103 MR1714338
12	H A Masur, Y N Minsky, Geometry of the complex of curves, II : Hierarchical structure, Geom. Funct. Anal. 10 (2000) 902 MR1791145
13	D McCullough, Compact submanifolds of 3–manifolds with boundary, Q. J. Math. 37 (1986) 299 MR0854628
14	Y N Minsky, Kleinian groups and the complex of curves, Geom. Topol. 4 (2000) 117 MR2182094
15	Y N Minsky, The classification of Kleinian surface groups, I : Models and bounds, Ann. of Math. 171 (2010) 1 MR2630036
16	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 (1984) 37 MR0758464
17	K Ohshika, Degeneration of marked hyperbolic structures in dimensions 2 and 3, from: "Handbook of group actions, III" (editors L Ji, A Papadopoulos, S T Yau), Adv. Lect. Math. 40, International (2018) 13 MR3888614
18	J P Otal, Thurston’s hyperbolization of Haken manifolds, from: "Surveys in differential geometry, III" (editor S T Yau), International (1998) 77 MR1677888
19	G P Scott, Compact submanifolds of 3–manifolds, J. Lond. Math. Soc. 7 (1973) 246 MR0326737
20	W P Thurston, Hyperbolic structures on 3–manifolds, I : Deformation of acylindrical manifolds, Ann. of Math. 124 (1986) 203 MR0855294
21	W P Thurston, Hyperbolic structures on 3–manifolds, II : Surface groups and 3–manifolds which fiber over the circle, preprint (1998) arXiv:math/9801045 MR4556467
22	W P Thurston, Hyperbolic structures on 3–manifolds, III : Deformations of 3–manifolds with incompressible boundary, preprint (1998) arXiv:math/9801058
23	W P Thurston, Collected works of William P Thurston with commentary, IV: The geometry and topology of three-manifolds, Amer. Math. Soc. (2022)
24	F Waldhausen, On irreducible 3–manifolds which are sufficiently large, Ann. of Math. 87 (1968) 56 MR0224099
25	F Waldhausen, On the determination of some bounded 3–manifolds by their fundamental groups alone, Proc. Sympos. on Topology and its Appl. (1969) 331