Volume 9, issue 2 (2009)

Download this article
For screen
For printing
Recent Issues

Volume 13 (2013)
Issue 1 1–624
Issue 2 625–1241
Issue 3 1243–

Volume 12 (2012) 1–4

Volume 11 (2011) 1–5

Volume 10 (2010) 1–4

Volume 9 (2009) 1–4

Volume 8 (2008) 1–4

Volume 7 (2007)

Volume 6 (2006)

Volume 5 (2005)

Volume 4 (2004)

Volume 3 (2003)

Volume 2 (2002)

Volume 1 (2001)

The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
GTP Author Index

Volume estimates for equiangular hyperbolic Coxeter polyhedra

Christopher K Atkinson

Algebraic & Geometric Topology 9 (2009) 1225–1254

DOI: 10.2140/agt.2009.9.1225

Bibliography
1 C C Adams, Volumes of hyperbolic 3–orbifolds with multiple cusps, Indiana Univ. Math. J. 41 (1992) 149–172 MR1160907
2 I Agol, Finiteness of arithmetic Kleinian reflection groups, from: "International Congress of Mathematicians. Vol. II", Eur. Math. Soc. (2006) 951–960 MR2275630
3 I Agol, P A Storm, W P Thurston, Lower bounds on volumes of hyperbolic Haken 3–manifolds, J. Amer. Math. Soc. 20 (2007) 1053–1077 MR2328715 With an appendix by N Dunfield
4 D V Alekseevskij, È B Vinberg, A S Solodovnikov, Geometry of spaces of constant curvature, from: "Geometry, II" (editors R V Gamkrelidze, È B Vinberg), Encyclopaedia Math. Sci. 29, Springer (1993) 1–138 MR1254932
5 E M Andreev, Convex polyhedra in Lobačevskiĭ spaces, Mat. Sb. (N.S.) 81 (123) (1970) 445–478 MR0259734
6 E M Andreev, Convex polyhedra of finite volume in Lobačevskiĭ space, Mat. Sb. (N.S.) 83 (125) (1970) 256–260 MR0273510
7 K Appel, W Haken, Every planar map is four colorable, Contemporary Math. 98, Amer. Math. Soc. (1989) MR1025335 With the collaboration of J Koch
8 K Böröczky, A Florian, Über die dichteste Kugelpackung im hyperbolischen Raum, Acta Math. Acad. Sci. Hungar 15 (1964) 237–245 MR0160155
9 D Cooper, C D Hodgson, S P Kerckhoff, Three-dimensional orbifolds and cone-manifolds, MSJ Memoirs 5, Math. Soc. Japan (2000) MR1778789 With a postface by S Kojima
10 G Gonthier, A computer-checked proof of the Four Colour Theorem, Preprint (2005)
11 Z X He, Rigidity of infinite disk patterns, Ann. of Math. (2) 149 (1999) 1–33 MR1680531
12 C C Heckman, R Thomas, Independent sets in triangle-free cubic planar graphs, J. Combin. Theory Ser. B 96 (2006) 253–275 MR2208354
13 T Inoue, Organizing volumes of right-angled hyperbolic polyhedra, Algebr. Geom. Topol. 8 (2008) 1523–1565 MR2443253
14 M Lackenby, The volume of hyperbolic alternating link complements, Proc. London Math. Soc. (3) 88 (2004) 204–224 MR2018964 With an appendix by I Agol and D Thurston
15 Y Miyamoto, Volumes of hyperbolic manifolds with geodesic boundary, Topology 33 (1994) 613–629 MR1293303
16 B Rodin, D Sullivan, The convergence of circle packings to the Riemann mapping, J. Differential Geom. 26 (1987) 349–360 MR906396
17 A Selberg, On discontinuous groups in higher-dimensional symmetric spaces, from: "Contributions to function theory (internat. Colloq. Function Theory, Bombay, 1960)", Tata Inst. of Fund. Research (1960) 147–164 MR0130324
18 E Steinitz, Polyeder und Raumeinteilungen, Enzylk. Math. Wiss. 3 (1922) 1–139
19 W P Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)