Geometry & Topology Volume 14, issue 4 (2010)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author Index

To Appear

Other MSP Journals

Bounds on exceptional Dehn filling II

Ian Agol

Geometry & Topology 14 (2010) 1921–1940

DOI: 10.2140/gt.2010.14.1921

Bibliography

1	C C Adams, The noncompact hyperbolic 3–manifold of minimal volume, Proc. Amer. Math. Soc. 100 (1987) 601 MR894423
2	I Agol, Tameness of hyperbolic 3–manifolds arXiv:math/0405568
3	I Agol, Bounds on exceptional Dehn filling, Geom. Topol. 4 (2000) 431 MR1799796
4	I Agol, M Culler, P B Shalen, Dehn surgery, homology and hyperbolic volume, Algebr. Geom. Topol. 6 (2006) 2297 MR2286027
5	J W Anderson, R D Canary, M Culler, P B Shalen, Free Kleinian groups and volumes of hyperbolic 3–manifolds, J. Differential Geom. 43 (1996) 738 MR1412683
6	L Bers, Spaces of Kleinian groups, from: "Several Complex Variables, I (Proc. Conf., Univ. of Maryland, College Park, Md., 1970)", Springer (1970) 9 MR0271333
7	S A Bleiler, C D Hodgson, Spherical space forms and Dehn filling, Topology 35 (1996) 809 MR1396779
8	F Bonahon, J P Otal, Variétés hyperboliques à géodésiques arbitrairement courtes, Bull. London Math. Soc. 20 (1988) 255 MR931188
9	B H Bowditch, End invariants of hyperbolic 3–manifolds, Preprint (2005)
10	B H Bowditch, Notes on tameness, Preprint (2006)
11	J F Brock, K W Bromberg, On the density of geometrically finite Kleinian groups, Acta Math. 192 (2004) 33 MR2079598
12	J F Brock, R D Canary, Y N Minsky, Classification of Kleinian surface groups II : the ending lamination conjecture arXiv:math/0412006v1
13	K Bromberg, Projective structures with degenerate holonomy and the Bers density conjecture, Ann. of Math. (2) 166 (2007) 77 MR2342691
14	D Calegari, D Gabai, Shrinkwrapping and the taming of hyperbolic 3–manifolds, J. Amer. Math. Soc. 19 (2006) 385 MR2188131
15	C Cao, G R Meyerhoff, The orientable cusped hyperbolic 3–manifolds of minimum volume, Invent. Math. 146 (2001) 451 MR1869847
16	H D Cao, X P Zhu, A complete proof of the Poincaré and geometrization conjectures—application of the Hamilton–Perelman theory of the Ricci flow, Asian J. Math. 10 (2006) 165 MR2233789
17	T D Comar, Hyperbolic Dehn surgery and convergence of Kleinian groups, ProQuest LLC (1996) 119
18	D Cooper, The volume of a closed hyperbolic 3–manifold is bounded by π times the length of any presentation of its fundamental group, Proc. Amer. Math. Soc. 127 (1999) 941 MR1646313
19	M Culler, P B Shalen, Paradoxical decompositions, 2–generator Kleinian groups, and volumes of hyperbolic 3–manifolds, J. Amer. Math. Soc. 5 (1992) 231 MR1135928
20	D Gabai, R Meyerhoff, P Milley, Minimum volume cusped hyperbolic three-manifolds, J. Amer. Math. Soc. 22 (2009) 1157 MR2525782
21	D Gabai, R Meyerhoff, N Thurston, Homotopy hyperbolic 3–manifolds are hyperbolic, Ann. of Math. (2) 157 (2003) 335 MR1973051
22	C M Gordon, Boundary slopes of punctured tori in 3–manifolds, Trans. Amer. Math. Soc. 350 (1998) 1713 MR1390037
23	C M Gordon, Dehn filling: a survey, from: "Knot theory (Warsaw, 1995)" (editors V F R Jones, J H Kania-Bartoszyńska J. Przytycki, P Traczyk, V G Turaev), Banach Center Publ. 42, Polish Acad. Sci. (1998) 129 MR1634453
24	M Hildebrand, J Weeks, A computer generated census of cusped hyperbolic 3–manifolds, from: "Computers and mathematics (Cambridge, MA, 1989)" (editors E Kaltofen, S M Watt), Springer (1989) 53 MR1005959
25	W H Jaco, P B Shalen, Seifert fibered spaces in 3–manifolds, Mem. Amer. Math. Soc. 21 (1979) MR539411
26	T Jørgensen, On pairs of once-punctured tori, from: "Kleinian groups and hyperbolic 3–manifolds (Warwick, 2001)" (editors Y Komori, V Markovic, C Series), London Math. Soc. Lecture Note Ser. 299, Cambridge Univ. Press (2003) 183 MR2044551
27	R Kirby, editor, Problems in low-dimensional topology, from: "Geometric topology (Athens, GA, 1993)" (editor W H Kazez), AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
28	B Kleiner, J Lott, Notes on Perelman’s papers, Geom. Topol. 12 (2008) 2587 MR2460872
29	M Lackenby, Word hyperbolic Dehn surgery, Invent. Math. 140 (2000) 243 MR1756996
30	M Lackenby, R Meyerhoff, The maximal number of exceptional Dehn surgeries arXiv:0808.1176
31	J Manning, Algorithmic detection and description of hyperbolic structures on closed 3–manifolds with solvable word problem, Geom. Topol. 6 (2002) 1 MR1885587
32	A Marden, The geometry of finitely generated kleinian groups, Ann. of Math. (2) 99 (1974) 383 MR0349992
33	R Meyerhoff, A lower bound for the volume of hyperbolic 3–manifolds, Canad. J. Math. 39 (1987) 1038 MR918586
34	Y Minsky, The classification of Kleinian surface groups. I. Models and bounds, Ann. of Math. (2) 171 (2010) 1 MR2630036
35	J Morgan, G Tian, Ricci flow and the Poincaré conjecture, 3, Amer. Math. Soc. (2007) MR2334563
36	H Namazi, J Souto, Non-realizability and ending laminations : Proof of the Density Conjecture, Preprint (2010)
37	K Ohshika, Realising end invariants by limits of minimally parabolic, geometrically finite groups arXiv:math/0504546
38	J P Otal, Le théorème d’hyperbolisation pour les variétés fibrées de dimension 3, 235, Soc. Math. France (1996) MR1402300
39	G Perelman, The entropy formula for the Ricci flow and its geometric applications arXiv:math.DG/0211159
40	G Perelman, Ricci flow with surgery on three-manifolds arXiv:math.DG/0303109
41	S Rafalski, Immersed turnovers in hyperbolic 3–orbifolds, Groups Geom. Dyn. 4 (2010) 333 MR2595095
42	R Riley, Applications of a computer implementation of Poincaré’s theorem on fundamental polyhedra, Math. Comp. 40 (1983) 607 MR689477
43	T Soma, Sequences of degree-one maps between geometric 3–manifolds, Math. Ann. 316 (2000) 733 MR1758451
44	T Soma, Existence of ruled wrappings in hyperbolic 3–manifolds, Geom. Topol. 10 (2006) 1173 MR2255495
45	W P Thurston, Hyperbolic structures on 3–manifolds, II : Surface groups and 3–manifolds which fiber over the circle arXiv:math/9801045
46	W P Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)
47	J R Weeks, SnapPea : A computer program for creating and studying hyperbolic 3–manifolds
48	J R Weeks, Convex hulls and isometries of cusped hyperbolic 3–manifolds, Topology Appl. 52 (1993) 127 MR1241189