Uniformisation en dimension trois
Séminaire Bourbaki : volume 1998/99, exposés 850-864, Astérisque, no. 266 (2000), Exposé no. 855, 38 p.
@incollection{SB_1998-1999__41__137_0,
     author = {Boileau, Michel},
     title = {Uniformisation en dimension trois},
     booktitle = {S\'eminaire Bourbaki : volume 1998/99, expos\'es 850-864},
     series = {Ast\'erisque},
     note = {talk:855},
     pages = {137--174},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {266},
     year = {2000},
     mrnumber = {1772673},
     zbl = {0942.57013},
     language = {fr},
     url = {http://www.numdam.org/item/SB_1998-1999__41__137_0/}
}
TY  - CHAP
AU  - Boileau, Michel
TI  - Uniformisation en dimension trois
BT  - Séminaire Bourbaki : volume 1998/99, exposés 850-864
AU  - Collectif
T3  - Astérisque
N1  - talk:855
PY  - 2000
SP  - 137
EP  - 174
IS  - 266
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/SB_1998-1999__41__137_0/
LA  - fr
ID  - SB_1998-1999__41__137_0
ER  - 
%0 Book Section
%A Boileau, Michel
%T Uniformisation en dimension trois
%B Séminaire Bourbaki : volume 1998/99, exposés 850-864
%A Collectif
%S Astérisque
%Z talk:855
%D 2000
%P 137-174
%N 266
%I Société mathématique de France
%U http://www.numdam.org/item/SB_1998-1999__41__137_0/
%G fr
%F SB_1998-1999__41__137_0
Boileau, Michel. Uniformisation en dimension trois, dans Séminaire Bourbaki : volume 1998/99, exposés 850-864, Astérisque, no. 266 (2000), Exposé no. 855, 38 p. http://www.numdam.org/item/SB_1998-1999__41__137_0/

[Ah] L. Ahlfors - Finitely generated Kleinian groups, Amer. J. Math. 86 (1964), 413-429. | MR | Zbl

[AB] L. Ahlfors, L. Bers - Riemann's mapping theorem for variable metrics, Ann. of Math. 72 (1960), 385-404. | MR | Zbl

[And1] E. M. Andreev - On convex polyhedra in Lobačeskiĭ space, Mat. USSR Sbornik 10 (1970), 413-440. | MR | Zbl

[And2] E. M. Andreev - On convex polyhedra of finite volume in Lobačeskiĭ space, Mat. USSR Sbornik 12 (1971), 255-259. | MR | Zbl

[BaM] H. Bass, J. W. Morgan - The Smith Conjecture, Academic Press, 1984. | MR | Zbl

[BeF] M. Bestvina, M. Feighn - Stable actions of groups on real trees, Invent. Math. 121 (1995), 287-321. | MR | Zbl

[Ber] L. Bers - On boundaries of Teichmüller spaces and Kleinian groups, Ann. of Math. 91 (1970), 570-600. | MR | Zbl

[Bes] M. Bestvina - Degenerations of hyperbolic space, Duke Math. J. 56 (1988), 143-161. | MR | Zbl

[Bon] F. Bonahon - Bouts des variétés hyperboliques de dimension 3, Ann. of Math. 124 (1986), 71-158. | MR | Zbl

[BoP] M. Boileau, J. Porti - Geometrization of 3-orbifolds of cyclic type, Preprint, 1998.

[BS] F. Bonahon, L. C. Siebenmann - The characteristic tori splitting of irreducible compact three-orbifolds, Math. Ann. 278 (1987), 441-479. | MR | Zbl

[Ca] R. Canary - A covering theorem for hyperbolic 3-manifolds and its applications, Topology 35 (1996), 751-778. | MR | Zbl

[CEG] R. D. Canary, D. Epstein and P. Green - Notes on notes of Thurston, Analytical and Geometric Aspects of Hyperbolic Space (D.B.A. Epstein, ed.), London Math. Soc. Lecture Notes Ser., vol. 111, Cambridge Univ. Press, Cambridge, 1987, 3-92. | MR | Zbl

[CJ] A. Casson, D. Jungreis - Convergence group and Seifert fibered 3-manifolds, Invent. Math. 118 (1994), 441-456. | MR | Zbl

[CHK] D. Cooper, C. Hodgson, S. Kerchkoff - The Orbifold Theorem: Working Notes, 1998.

[CS] M. Culler, P. B. Shalen - Varieties of group representations and splittings of 3-manifolds, Ann. of Math. 117 (1983), 109-146. | MR | Zbl

[DD] W. Dicks, M. J. Dunwoody - Groups acting on graphs, Cambridge University Press, Cambridge, 1989. | MR | Zbl

[EM] D. Epstein, A. Marden - Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, Analytical and Geometric Aspects of Hyperbolic Space (D. B. A. Epstein, ed.), London Math. Soc. Lecture Notes Ser., vol. 111, Cambridge Univ. Press, Cambridge, 1987, 113-253. | MR | Zbl

[FLP] A. Fathi, F. Laudenbach, et V. Poenaru - Travaux de Thurston sur les surfaces, Astérisque 66-67 (1979). | Numdam | MR | Zbl

[Ga1] D. Gabai - Convergence groups are Fuchsian groups, Ann. of Math. 136 (1992), 447-510. | MR | Zbl

[Ga2] D. Gabai - Homotopy hyperbolic 3-manifolds are virtally hyperbolic, J.A.M.S. 7 (1994), 193-198. | MR | Zbl

[Ga3] D. Gabai - On the geometric and topological rigidity of hyperbolic 3-manifolds, J.A.M.S. 10 (1997), 37-74. | MR | Zbl

[GMT] D. Gabai, R. Meyerhoff, N. Thurston - Homotopy hyperbolic 3-manifolds are hyperbolic, Preprint, 1996.

[Gro] M. Gromov - Hyperbolic manifolds according to Thurston and Jørgensen, Sém. Bourbaki, exp. n° 546 (novembre 1979), Lecture Notes in Math. 842 (1981), Springer Verlag, Berlin, 40-53. | Numdam | MR | Zbl

[GLP] M. Gromov, J. Lafontaine, P. Pansu - Structures métriques pour les variétés riemanniennes, Cedic/Fernand Nathan, Paris, 1981. | MR | Zbl

[Gui] V. Guirardel - Approximations of stable actions on R-trees, Comment. Math. Helv. 73 (1998), 89-121. | MR | Zbl

[JS] W. H. Jaco, P. B. Shalen - Seifert fibred spaces in 3-manifolds, Mem. Amer. Math. Soc. 220 (1979). | MR | Zbl

[Jo] K. Johannson - Homotopy equivalences of 3-manifolds with boundary, Lecture Notes in Math. 761, Springer Verlag, Berlin, 1979. | MR | Zbl

[JM] T. Jørgensen, A. Marden - Algebraic and geometric convergence of Kleinian groups, Math. Scand. 66 (1990), 47-72. | MR | Zbl

[Ka] M. Kapovich - Hyperbolic Manifolds and Discrete Groups, Univ. of Utah Lecture Notes, 1995. | Zbl

[Mard] A. Marden - The geometry of finitely generated Kleinian groups, Ann. of Math. 99 (1974), 383-496. | MR | Zbl

[Marg] G. A. Margulis - Discrete groups of motions of manifolds of non-positive curvature, Proc. Int. Congr. Math., Vancouver 2 (1974), 21-34. | MR | Zbl

[Mas1] B. Maskit - On Klein's combination theorem III, Advances in the theory of Riemann Surfaces (L. Ahlfors et al., ed.), Ann. of Math. Studies 66, Princeton Univ. Press (1971), 297-316. | MR | Zbl

[Mas2] B. Maskit - Kleinian Groups, Springer Verlag, Berlin, 1988. | MR | Zbl

[MT] K. Matsuzaki, M. Taniguchi - Hyperbolic manifolds and Kleinian groups, Oxford Math. Monographs, Oxford, 1998. | MR | Zbl

[McM1] C. Mcmullen - Amenability, Poincaré series and holomorphic averaging, Invent. Math. 97 (1989), 95-127. | MR | Zbl

[McM2] C. Mcmullen - Iteration on Teichmüller space, Invent. Math. 99 (1990), 425-454. | MR | Zbl

[McM3] C. Mcmullen - Riemann surface and the geometrization of 3-manifolds, Bull. Amer. Math. Soc. 27 (1992), 207-216. | MR | Zbl

[McM4] C. Mcmullen - Renormalization and 3-manifolds which Fiber over the Circle, Annals of Math. Studies, vol. 144, Princeton University Press, 1996. | MR | Zbl

[MY] W. H. Meeks, S. T. Yau - The equivariant Dehn's Lemma and Loop Theorem, Comment. Math. Helv. 56 (1981), 225-239. | MR | Zbl

[Me] G. Mess - The Seifert conjecture and groups which are coarse quasi-isometric to planes, Preprint, 1988.

[Mor1] J. Morgan - On Thurston's uniformization theorem for three-dimensional manifolds, The Smith Conjecture (H. Bass et J. Morgan, ed.), Academic Press: Orlando, Fl., 1984, 37-125. | MR | Zbl

[Mor2] J. Morgan - Actions de groupes finis sur S 3 : la conjecture de P.A. Smith (d'après Thurston et Meeks-Yau), Sém. Bourbaki, exp. n° 578 (juin 1981), Lecture Notes in Math. 901 (1981), Springer Verlag, Berlin, 277-289. | Numdam | MR | Zbl

[MS1] J. Morgan, P. B. Shalen - Valuations, trees, and degenerations of hyperbolic structures, I, Ann. of Math. 120 (1984), 401-476. | MR | Zbl

[MS2] J. Morgan, P. B. Shalen - Valuations, trees, and degenerations of hyperbolic structures, II: measured laminations in 3-manifolds, Ann. of Math. 127 (1988), 403-465. | MR | Zbl

[MS3] J. Morgan, P. B. Shalen - Valuations, trees, and degenerations of hyperbolic structures, III : actions of 3-manifold groups on trees and Thurston's compactness theorem, Ann. of Math. 120 (1984), 467-519. | MR | Zbl

[Mos] G. D. Mostow - Strong rigidity of locally symmetric spaces, Ann. of Math. Stud., vol. 78, Princeton University Press, Princeton, NJ, 1973. | MR | Zbl

[Oh] K. Ohshika - Geometric behavior of Klenian groups on boundaries of deformation spaces, Quart. J. Math. Oxford 43 (1992), 97-111. | MR | Zbl

[Ota1] J.-P. Otal - Le théorème d'hyperbolisation pour les variétés fibrées de dimension 3, Astérisque 235 (1996). | Numdam | MR | Zbl

[Ota2] J.-P. Otal - Thurston's hyperbolization of Haken manifolds, Preprint, 1997.

[Pau1] F. Paulin - Topologie de Gromov équivariante, structures hyperboliques et arbres réels, Invent. Math. 94 (1988), 53-80. | MR | Zbl

[Pau2] F. Paulin - Actions de groupes sur les arbres, Sém. Bourbaki, exp. n° 808 (novembre 1995), Lecture Notes in Math. 241 (1997), Springer Verlag, Berlin, 97-137. | Numdam | MR | Zbl

[Ril] R. Riley - A quadratic parabolic group, Math. Proc. Camb. Phil. Soc. 77 (1975), 281-288. | MR | Zbl

[Riv] I. Rivin - A characterization of ideal polyhedra in hyperbolic 3-space, Ann. of Math. 143 (1996), 51-70. | MR | Zbl

[RH] I. Rivin, C. Hodgson - A characterization of compact convex polyhedra in hyperbolic 3-space, Invent. Math. 111 (1993), 77-111. | MR | Zbl

[Sco1] P. Scott - A new proof of the annulus and torus theorems, Amer. J. Math. 102 (1980), 241-277. | MR | Zbl

[Sco2] P. Scott - There are no fake Seifert fibre spaces with infinite π1, Ann. of Math. 117 (1983), 35-70. | Zbl

[Sco3] P. Scott - The geometries of 3-manifolds, London Math. Soc. 15 (1983), 401-487. | MR | Zbl

[Sko] R. Skora - Splittings of surfaces, J.A.M.S. 9 (1996), 605-616. | MR | Zbl

[Sta] J. Stallings - On fibering certain 3-manifolds, Topology of 3-manifolds and related topics, Prentice Hall (1962), 95-100. | MR

[Su1] D. Sullivan - Travaux de Thurston sur les groupes quasi-fuchsiens et sur les variétés hyperboliques de dimension 3 fibrées sur S 1 , Sém. Bourbaki, exp. n° 554 (février 1980), Lecture Notes in Math. 842 (1982), Springer Verlag, Berlin, 196-214. | Numdam | MR | Zbl

[Su2] D. Sullivan - On finiteness theorem for cusps, Acta Math. 147 (1981), 289-299. | MR | Zbl

[Th0] W. P. Thurston - The geometry and topology of 3-manifolds, Princeton Math. Dept., 1979.

[Th1] W. P. Thurston - Hyperbolic structures on 3-manifolds: overall logic, Notes of Summer Workshop at Bowdoin (1980).

[Th2] W. P. Thurston - Three dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982), 357-381. | MR | Zbl

[Th3] W. P. Thurston - Hyperbolic Structures on 3-manifolds, I: Deformations of acylindrical manifolds, Annals of Math. 124 (1986), 203-246. | MR | Zbl

[Th4] W. P. Thurston - Hyperbolic Structures on 3-manifolds, II: Surface groups and manifolds which fiber over S1, Preprint, 1986. | MR

[Th5] W. P. Thurston - Hyperbolic Structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary, Preprint, 1986. | MR

[Th6] W. P. Thurston - Three-manifolds with symmetry, Preprint, 1982. | MR

[Th7] W. P. Thurston - On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988), 417-432. | MR | Zbl

[Th8] W. P. Thurston - Three-dimensional geometry and topology, vol. 35 (S. Levy, ed.), Princeton University Press, 1997. | MR | Zbl

[To] J. L. Tollefson - Involutions of sufficiently large 3-manifolds, Topology 20 (1981), 323-352. | MR | Zbl

[Tu] P. Tukia - Homeomorphic conjugates of Fuchsian groups, J. Reine Angew. Math. 391 (1988), 1-54. | MR | Zbl

[Wa] F. Waldhausen - On irreducible 3-manifolds which are sufficiently large, Ann. of Math. 87 (1968), 56-88. | MR | Zbl

[WS] C. Weber, H. Seifert - Die beiden Dodekaederräume, Math. Z. 37 (1933), 237-253. | MR | Zbl