Volume 14, issue 1 (2010)

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Canonical triangulations of Dehn fillings

François Guéritaud and Saul Schleimer

Geometry & Topology 14 (2010) 193–242
Bibliography
1 H Akiyoshi, On the hyperbolic manifolds obtained from the Whitehead link, from: "Analysis of discrete groups, II (Kyoto, 1996)", Sūrikaisekikenkyūsho Kōkyūroku 1022 (1997) 213 MR1643724
2 H Akiyoshi, On the Ford domains of once-punctured torus groups, from: "Hyperbolic spaces and related topics (Japanese) (Kyoto, 1998)", Sūrikaisekikenkyūsho Kōkyūroku 1104 (1999) 109 MR1744475
3 H Akiyoshi, Finiteness of polyhedral decompositions of cusped hyperbolic manifolds obtained by the Epstein–Penner's method, Proc. Amer. Math. Soc. 129 (2001) 2431 MR1823928
4 H Akiyoshi, Canonical decompositions of cusped hyperbolic 3-manifolds obtained by Dehn filling, from: "Perspectives of hyperbolic spaces", Kokyuroku 1329, RIMS (2003) 121
5 H Akiyoshi, M Sakuma, Comparing two convex hull constructions for cusped hyperbolic manifolds, 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) 209 MR2044552
6 H Akiyoshi, M Sakuma, M Wada, Y Yamashita, J\o rgensen's picture of punctured torus groups and its refinement, 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) 247 MR2044553
7 H Akiyoshi, M Sakuma, M Wada, Y Yamashita, Punctured torus groups and $2$–bridge knot groups. I, Lecture Notes in Math. 1909, Springer (2007) MR2330319
8 P J Callahan, M V Hildebrand, J R Weeks, A census of cusped hyperbolic $3$–manifolds, Math. Comp. 68 (1999) 321 MR1620219
9 K Chan, Constructing hyperbolic $3$–manifolds, Undergraduate thesis with Craig Hodgson, University of Melbourne (2002)
10 T A Drumm, J A Poritz, Ford and Dirichlet domains for cyclic subgroups of $\mathrm{PSL}_2(\mathbf{C})$ acting on $\mathbf{H}^3_R$ and $\partial\mathbf{H}^3_R$, Conform. Geom. Dyn. 3 (1999) 116 MR1716572
11 D B A Epstein, R C Penner, Euclidean decompositions of noncompact hyperbolic manifolds, J. Differential Geom. 27 (1988) 67 MR918457
12 D Futer, F Guéritaud, Angled decompositions of arborescent link complements, Proc. Lond. Math. Soc. $(3)$ 98 (2009) 325 MR2481951
13 F Guéritaud, On an elementary proof of Rivin's characterization of convex ideal hyperbolic polyhedra by their dihedral angles, Geom. Dedicata 108 (2004) 111 MR2112668
14 F Guéritaud, Géométrie hyperbolique effective et triangulations idéales canoniques en dimension trois, PhD thesis, Université d’Orsay (2006)
15 F Guéritaud, On canonical triangulations of once-punctured torus bundles and two-bridge link complements, Geom. Topol. 10 (2006) 1239 MR2255497
16 F Guéritaud, Triangulated cores of punctured-torus groups, J. Differential Geom. 81 (2009) 91 MR2477892
17 B Jaco, H Rubinstein, Layered-triangulations of $3$–manifolds, Preprint (2006)
18 T Jørgensen, On cyclic groups of Möbius transformations, Math. Scand. 33 (1973) MR0348103
19 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
20 M Lackenby, The canonical decomposition of once-punctured torus bundles, Comment. Math. Helv. 78 (2003) 363 MR1988201
21 B Martelli, C Petronio, Dehn filling of the “magic” $3$–manifold, Comm. Anal. Geom. 14 (2006) 969 MR2287152
22 W D Neumann, A W Reid, Arithmetic of hyperbolic manifolds, from: "Topology '90 (Columbus, OH, 1990)" (editors B Apanasov, W D Neumann, A W Reid, L Siebenmann), Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 273 MR1184416
23 I Rivin, Euclidean structures on simplicial surfaces and hyperbolic volume, Ann. of Math. $(2)$ 139 (1994) 553 MR1283870
24 I Rivin, Combinatorial optimization in geometry, Adv. in Appl. Math. 31 (2003) 242 MR1985831
25 M Sakuma, J Weeks, Examples of canonical decompositions of hyperbolic link complements, Japan. J. Math. $($N.S.$)$ 21 (1995) 393 MR1364387
26 W P Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)
27 J R Weeks, SnapPea: a software for the study of hyperbolic manifolds
28 J R Weeks, Convex hulls and isometries of cusped hyperbolic $3$–manifolds, Topology Appl. 52 (1993) 127 MR1241189