References: |
[1] H Akiyoshi, On the hyperbolic manifolds obtained from the Whitehead link, from: “Analysis of discrete groups, II (Kyoto, 1996)”, S¯urikaisekikenky¯usho K¯oky¯uroku 1022 (1997) 213–224 MR1643724 [2] H Akiyoshi, On the Ford domains of once-punctured torus groups, from: “Hyperbolic spaces and related topics (Japanese) (Kyoto, 1998)”, S¯urikaisekikenky¯usho K¯oky¯uroku 1104 (1999) 109–121 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– 2439 MR1823928 [4] H Akiyoshi, Canonical decompositions of cusped hyperbolic 3-manifolds obtained by Dehn filling, from: “Perspectives of hyperbolic spaces”, Kokyuroku 1329, RIMS, Kyoto (2003) 121–132 [5] H Akiyoshi, M Sakuma, Comparing two convex hull constructions for cusped hyperbolic manifolds, from: “Kleinian groups and hyperbolic 3-manifolds (Warwick, 2001)”, (Y Komori, V Markovic, C Series, editors), London Math. Soc. Lecture Note Ser. 299, Cambridge Univ. Press (2003) 209–246 MR2044552 [6] H Akiyoshi, M Sakuma, M Wada, Y Yamashita, Jørgensen’s picture of punctured torus groups and its refinement, from: “Kleinian groups and hyperbolic 3-manifolds (Warwick, 2001)”, (Y Komori, V Markovic, C Series, editors), London Math. Soc. Lecture Note Ser. 299, Cambridge Univ. Press (2003) 247–273 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, Berlin (2007) MR2330319 [8] P J Callahan, MV Hildebrand, JR Weeks, A census of cusped hyperbolic 3– manifolds, Math. Comp. 68 (1999) 321–332 MR1620219 [9] K Chan, Constructing hyperbolic 3–manifolds, Undergraduate thesis with Craig Hodgson, University of Melbourne (2002) [10] TA Drumm, JA Poritz, Ford and Dirichlet domains for cyclic subgroups of PSL2.C/ acting on H3 R and @H3 R , Conform. Geom. Dyn. 3 (1999) 116–150 MR1716572 [11] DBA Epstein, RC Penner, Euclidean decompositions of noncompact hyperbolic manifolds, J. Differential Geom. 27 (1988) 67–80 MR918457 [12] D Futer, F Gu´eritaud, Angled decompositions of arborescent link complements, Proc. Lond. Math. Soc. .3/ 98 (2009) 325–364 MR2481951 [13] F Gu´eritaud, On an elementary proof of Rivin’s characterization of convex ideal hyperbolic polyhedra by their dihedral angles, Geom. Dedicata 108 (2004) 111–124 MR2112668 [14] F Gu´eritaud, G´eom´etrie hyperbolique effective et triangulations id´eales canoniques en dimension trois, PhD thesis, Universit´e d’Orsay (2006) [15] F Gu´eritaud, On canonical triangulations of once-punctured torus bundles and twobridge link complements, Geom. Topol. 10 (2006) 1239–1284 MR2255497 With an appendix by D Futer [16] F Gu´eritaud, Triangulated cores of punctured-torus groups, J. Differential Geom. 81 (2009) 91–142 MR2477892 [17] B Jaco, H Rubinstein, Layered-triangulations of 3–manifolds, Preprint (2006) Available at http://www.math.okstate.edu/~jaco/ [18] T Jørgensen, On cyclic groups of M¨obius transformations, Math. Scand. 33 (1973) 250–260 (1974) MR0348103 [19] T Jørgensen, On pairs of once-punctured tori, from: “Kleinian groups and hyperbolic 3- manifolds (Warwick, 2001)”, (Y Komori, V Markovic, C Series, editors), London Math. Soc. Lecture Note Ser. 299, Cambridge Univ. Press (2003) 183–207 MR2044551 [20] MLackenby, The canonical decomposition of once-punctured torus bundles, Comment. Math. Helv. 78 (2003) 363–384 MR1988201 [21] B Martelli, C Petronio, Dehn filling of the “magic” 3–manifold, Comm. Anal. Geom. 14 (2006) 969–1026 MR2287152 [22] WD Neumann, AWReid, Arithmetic of hyperbolic manifolds, from: “Topology ’90 (Columbus, OH, 1990)”, (B Apanasov, WD Neumann, AW Reid, L Siebenmann, editors), Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter, Berlin (1992) 273–310 MR1184416 [23] I Rivin, Euclidean structures on simplicial surfaces and hyperbolic volume, Ann. of Math. .2/ 139 (1994) 553–580 MR1283870 [24] I Rivin, Combinatorial optimization in geometry, Adv. in Appl. Math. 31 (2003) 242– 271 MR1985831 [25] M Sakuma, JWeeks, Examples of canonical decompositions of hyperbolic link complements, Japan. J. Math. .N.S./ 21 (1995) 393–439 MR1364387 [26] WP Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979) Available at http://msri.org/publications/books/ gt3m/ [27] JR Weeks, SnapPea: a software for the study of hyperbolic manifolds Available at http://www.geometrygames.org/SnapPea/ [28] JRWeeks, Convex hulls and isometries of cusped hyperbolic 3–manifolds, Topology Appl. 52 (1993) 127–149 MR1241189 |