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Shapes of polyhedra and triangulations of the sphere

William P Thurston

Geometry & Topology Monographs 1 (1998) 511–549

DOI: 10.2140/gtm.1998.1.511

Bibliography
1 D Cooper, W P Thurston, Triangulating 3–manifolds using 5 vertex link types, Topology 27 (1988) 23–25 MR935525
2 P Deligne, G D Mostow, Monodromy of hypergeometric functions and nonlattice integral monodromy, Inst. Hautes Études Sci. Publ. Math. (1986) 5–89 MR849651
3 P Deligne, G D Mostow, Commensurabilities among lattices in PU(1,n), Annals of Mathematics Studies 132, Princeton University Press (1993) MR1241644
4 D B A Epstein, A Marden, Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, from: "Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984)", London Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press (1987) 113–253 MR903852
5 G D Mostow, Generalized Picard lattices arising from half-integral conditions, Inst. Hautes Études Sci. Publ. Math. (1986) 91–106 MR849652
6 É Picard, Sur les fonctions hyperfuchsiennes provenant des séries hypergéométriques de deux variables, Ann. Sci. École Norm. Sup. (3) 2 (1885) 357–384 MR1508769
7 E Picard, Sur les fonctions hyperfuchsiennes provenant des séries hypergéométriques de deux variables, Bull. Soc. Math. France 15 (1887) 148–152 MR1504014
8 I Rivin, Euclidean structures on simplicial surfaces and hyperbolic volume, Ann. of Math. (2) 139 (1994) 553–580 MR1283870
9 I Rivin, A characterization of ideal polyhedra in hyperbolic 3–space, Ann. of Math. (2) 143 (1996) 51–70 MR1370757
10 C D Hodgson, I Rivin, A characterization of compact convex polyhedra in hyperbolic 3–space, Invent. Math. 111 (1993) 77–111 MR1193599
11 W P Thurston, Geometry and topology of 3–manifolds, lecture notes, Princeton University (1979)
12 M Troyanov, Prescribing curvature on compact surfaces with conical singularities, Trans. Amer. Math. Soc. 324 (1991) 793–821 MR1005085