Geometrization of 3-orbifolds of cyclic type
Boileau, Michel; Porti, Joan

With the contributions of : Heusener, Michael

Geometrization of 3-orbifolds of cyclic type, Astérisque no. 272  (2001), p. i-208
@incollection{AST_2001__272__R1_0,
     author = {Boileau, Michel and Porti, Joan},
     title = {Geometrization of $3$-orbifolds of cyclic type},
     booktitle = {Geometrization of $3$-orbifolds of cyclic type},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {272},
     year = {2001},
     pages = {i-208},
     zbl = {0971.57004},
     mrnumber = {1844891},
     language = {en},
     url = {http://www.numdam.org/item/AST_2001__272__R1_0}
}
Boileau, Michel; Porti, Joan. Geometrization of $3$-orbifolds of cyclic type, in Geometrization of $3$-orbifolds of cyclic type, Astérisque, no. 272 (2001), pp. i-208. http://www.numdam.org/item/AST_2001__272__R1_0/

[Ah] L. Ahlfors, Finitely generated Kleinian groups, Amer. J. Math. 86, 413-429. | Article | MR 167618 | Zbl 0133.04201

[AB] L. Ahlfors, L. Bers, Riemann's mapping theorem for variable metrics, Ann. of Math. 72 (1960), 385-404. | Article | MR 115006 | Zbl 0104.29902

[An1] E. M. Andreev, On convex polyhedra in Lobačeskĭi space, Mat. USSR Sbornik 10 (1970), 413-440. | Article | MR 259734 | Zbl 0217.46801

[An2] E. M. Andreev, On convex polyhedra of finite volume in Lobačeskĭi space, Mat. USSR Sbornik 12 (1971), 255-259. | Article | MR 259734 | Zbl 0252.52005

[BP] C. Benedetti, R. Petronio, Lectures on Hyperbolic Geometry, Springer-Verlag, Berlin 1993. | MR 1219310 | Zbl 0768.51018

[Boi] M. Boileau, Uniformisation en dimension trois, in Séminaire Bourbaki, Exposé No. 855, Astérisque 266 (2000), pp. 137-174. | Numdam | MR 1772673

[BDV] M. Boileau, S. Druck, E. Vogt, A vanishing theorem for the Gromov volume of 3-manifolds with an application to circle foliations, Preprint 1998. | MR 1895704 | Zbl 0994.57022

[BLP1] M. Boileau, B. Leeb, J. Porti, Uniformization of compact orientable 3-orbifolds, Preprint math.GT/0010184 (2000). | MR 1805628

[BLP2] M. Boileau, B. Leeb, J. Porti, On the geometry of 3-dimensional cone manifolds with cone angles < π , Preprint math.GT/0010185 (2000).

[BSl] F. Bonahon, L. C. Siebenmann, The characteristic tori splitting of irreducible compact three-orbifolds, Math. Ann. 278 (1987), 441-479. | Article | MR 909236 | Zbl 0629.57007

[BS2] F. Bonahon, L. C. Siebenmann, The classification of Seifert fibred threemanifolds, in "Low Dimensional Topology", (ed. by R. Fenn), London Math. Soc. Lecture Notes Ser. 95 (1985), Cambridge Univ. Press, Cambridge, pp. 19-85. | MR 827297 | Zbl 0571.57011

[BS3] F. Bonahon, L. C. Siebenmann, Geometric splittings of classical knots and the algebraic knots of Conway, manuscrit.

[Bou] J.-P. Bourgignon, L'équation de la chaleur associée à la courbure de Ricci (d'après R.S. Hamilton), in Séminaire Bourbaki 38ème année, Exposé No. 653, Astérisque 145-146 (1987), pp. 41-56. | Numdam | MR 880025 | Zbl 0613.53018

[Bow] B. H. Bowditch, Geometrical finiteness with variable negative curvature, Duke Math. J. 77 (1995), 229-274. | Article | MR 1317633 | Zbl 0877.57018

[Bre] G. E. Bredon, Introduction to Compact Transformation Groups, Academic Presss, Inc. (1972). | MR 413144 | Zbl 0246.57017

[BrH] M. R. Bridson, A. Haefliger, Metric Spaces of Non-Positive Curvature, Springer Verlag, Berlin, 1999. | Article | MR 1744486 | Zbl 0988.53001

[BrS] M. R. Bridson, G. A. Swarup, On Hausdorff-Gromov convergence and a theorem of Paulin, L'Ens. Math. 40 (1994), 267-289. | MR 1309129 | Zbl 0846.20038

[Bro] R. Brooks, Circle packings and co-compact extensions of Kleinian groups, Invent. Math. 86 (1986), 461-469. | Article | MR 860677 | Zbl 0578.30037

[CEG] R. D. Canary, D. B. A. Epstein and P. Green, Notes on notes of Thurston in "Analytical and Geometric Aspects of Hyperbolic Space" (ed. by D. B. A. Epstein), London Math. Soc. Lecture Notes Ser. 111 (1987), Cambridge Univ. Press, Cambridge, pp. 3-92. | MR 903850 | Zbl 0612.57009

[CG1] J. Cheeger, D. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math. 96 (1972), 413-443. | MR 309010 | Zbl 0246.53049

[CGv] J. Cheeger, M. Gromov, Collapsing Riemannian manifolds while keeping their curvature bounded, J. Diff. Geom. 32 (1990), 269-298. | Article | MR 1064875 | Zbl 0727.53043

[CHK] D. Cooper, C. Hodgson, S. Kerchkoff, Three dimensional Orbifolds and Cone Manifolds, Mathematical Society of Japan Memoirs 5 (2000). | MR 1778789 | Zbl 0955.57014

[Cul] M. Culler Lifting representations to covering groups, Adv. Math. 59 (1986), 64-70. | Article | MR 825087 | Zbl 0582.57001

[CGLS] M. Culler, C. Mc A. Gordon, J. Luecke, P. B. Shalen, Dehn surgeries on knots, Ann. of Math. 125 (1987), 237-300. | Article | MR 881270 | Zbl 0633.57006

[CS] M. Culler, P. B. Shalen, Varieties of group representations and splittings of S-manifolds, Ann. of Math. 117 (1983), 109-146. | Article | MR 683804 | Zbl 0529.57005

[DaM] M. W. Davis, J. W. Morgan, Finite group actions on homotopy 3-spheres, in "The Smith Conjecture" (ed. by H. Bass, J.W. Morgan), Academic Press, 1984, pp.181-225. | MR 758469 | Zbl 0599.57008

[DD] W. Dicks, M. J. Dunwoody, Groups acting on graphs, Cambridge University Press, Cambridge, 1989. | MR 1001965 | Zbl 1272.20025 | Zbl 0665.20001

[Dun1] W. D. Dunbar, Geometric orbifolds, Rev. Mat. Univ. Comp. Madrid 1 (1988), 67-99. | MR 977042 | Zbl 0655.57008

[Dun2] W. D. Dunbar, Hierarchies for 3-orbifolds, Topology and its Appl. 29 (1988), 267-283. | Article | MR 953958 | Zbl 0665.57011

[Dun3] W. D. Dunbar, Classification of solvorbifolds in dimension three, in "Braids (Santa Cruz, CA, 1986)", Contemp. Math. 78 (1988), Amer. Math. Soc, pp. 207-216. | MR 975080 | Zbl 0659.57006

[Dun4] W. D. Dunbar, Nonfibreing spherical 3-orbifolds, Trans. Amer. Math. Soc. 341 (1994), 121-142. | MR 1118824 | Zbl 0808.57007

[DuM] W. D. Dunbar, R. G. Meyerhoff, Volumes of Hyperbolic 3-orbifolds, Indiana Univ. Math. J. 43 (1994), 611-637. | Article | MR 1291531 | Zbl 0899.57006

[Dunf] N. Dunfield, Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds, Topology 38 (1999), 457-465. | Article | MR 1660313 | Zbl 0923.57004

[DS] M. J. Dunwoody, E. L. Swenson, Algebraic torus theorem, Invent. Math. 140 (2000), 605-637. | Article | MR 1760752 | Zbl 1017.20034

[Ebe] P. Eberlein, Lattices in spaces of nonpositive curvature, Ann. of Math. 111 (1980), 435-476. | Article | MR 577132 | Zbl 0401.53015

[Fed] H. Federer, Geometric Measure Theory, Springer Verlag, Berlin, 1969. | MR 257325 | Zbl 0176.00801

[Fei] M.E. Feighn Actions of finite groups on homotopy 3-spheres, Trans. Amer. Math. Soc. 284 (1984), 141-151. | MR 742416 | Zbl 0561.57029

[GM] F. Gonzalez-Acuña, J. M. Montesinos, On the character variety of group representations in SL(2,) and PSL(2,), Math. Z. 214 (1983), 627-652. | Article | MR 1248117 | Zbl 0799.20040

[Gard] F. P. Gardiner, Teichmüller theory and quadratic differentials. Pure and Applied Mathematics, John Wiley & Sons, Inc., New York, 1987. | MR 903027 | Zbl 0629.30002

[Garl] H. Garland, A Rigidity Theorem for Discrete Subgroups, Trans. Amer. Math. Soc. 129 (1967), 1-25. | Article | MR 214102 | Zbl 0225.22016

[Gor] C. Mc A. Gordon, Dehn surgery and satellite knots, Trans. Amer. Math. Soc. 275 (1983), 687-708. | Article | MR 682725 | Zbl 0519.57005

[GL] C. Mc A. Gordon and R. A. Litherland, Incompressible Surfaces in Branched Coverings, in "The Smith Conjecture" (ed. by H. Bass, J.W. Morgan), Academic Press 1984, (pp. 139-152). | MR 758466 | Zbl 0599.57006

[Gro] M. Gromov, Volume and bounded cohomology, I. H. E. S. Publ. Math. 56 (1983), 5-99. | Numdam | MR 686042 | Zbl 0516.53046

[GLP] M. Gromov, J. Lafontaine, P. Pansu, Structures métriques pour les variétés riemanniennes, Cedic/Fernand Nathan, Paris 1981. | MR 682063 | Zbl 0509.53034

[GT] M. Gromov, W. Thurston, Pinching constants for hyperbolic manifolds, Invent. Math. 89 (1987), 1-12. | Article | MR 892185 | Zbl 0646.53037

[Ha1] R. S. Hamilton, Three-manifolds with positive Ricci curvature, J. Diff. Geom. 17 (1982), 255-306. | Article | MR 664497 | Zbl 0504.53034

[Ha2] R. S. Hamilton, Four-manifolds with positive curvature operator, J. Diff. Geom. 24 (1986), 153-179. | Article | MR 862046 | Zbl 0628.53042

[HRS] J. Hass, H. Rubinstein, P. Scott, Compactifying coverings of closed 3-manifolds, J. Diff. Geom. 30 (1989), 817-832. | Article | MR 1021374 | Zbl 0693.57011

[Hei] W. Heil, Normalizers of incompressible surfaces in 3-manifolds, Glasnik Mat. 16 (1986), 145-150. | MR 634302 | Zbl 0475.57001

[Hem] J. Hempel, 3-Manifolds, Ann. of Math. Studies 86, Princeton University Press, Princeton, N. J. 1976. | MR 415619 | Zbl 0345.57001

[HLM1] H. M. Hilden, M. T. Lozano, J. M. Montesinos-Amilibia, On a remarkable polyhedron geometrizing the figure eight knot cone manifolds, J. Math. Sci. Univ. Tokyo 2 (1995), 501-561. | MR 1382519 | Zbl 0856.57007

[HLM2] H. M. Hilden, M. T. Lozano, J. M. Montesinos-Amilibia, On the arithmeticity of 2-bridge knots and link orbifolds and a new knot invariant, J. Knot Theory Ramifications, 4 (1995), 81-114. | Article | MR 1321291 | Zbl 0844.57006

[HLM3] H. M. Hilden, M. T. Lozano, J. M. Montesinos-Amilibia, Preprint, in preparation.

[HLMW] H. M. Hilden, M. T. Lozano, J. M. Montesinos-Amilibia, W. C. Whitten, On universal groups and three-manifolds Invent. Math. 87 (1987), 441-456. | Article | MR 874030 | Zbl 0613.57007

[Ho1] C. Hodgson, Geometric structures on 3-dimensional orbifolds: Notes on Thurston's proof Preprint.

[Ho2] C. Hodgson, Degeneration and Regeneration of Hyperbolic Structures on Three-Manifolds, Ph.D. Thesis, Princeton University, 1986.

[HK] C. Hodgson, S. Kerchkoff, A rigidity theorem for hyperbolic cone manifolds, J. Diff. Geom. 48 (1998), 1-59. | Article | MR 1622600 | Zbl 0919.57009

[HMW] C. Hodgson, R. Meyerhoff, J. Weeks, Surgeries on the Whitehead link yield geometrically similar manifolds, in "Topology '90 (Columbus, OH, 1990)", Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter, Berlin 1992 (195-206). | MR 1184411 | Zbl 0767.57007

[HT] C. Hodgson, J. Tysk, Eigenvalue estimates and isoperimetric inequalities for cone manifolds, Bull. Australian Math. Soc. 47 (1993), 127-144. | Article | MR 1201429 | Zbl 0812.58092

[Iva] N. V. Ivanov, Foundations of the theory of bounded cohomology, J. Sov. Math. 37 (1987), 1090-1115. | Article | Zbl 0612.55006

[JR] W. H. Jaco, J. H. Rubinstein, PL minimal surfaces in 3-manifolds, J. Diff. Geom. 27 (1988), 493-524. | Article | MR 940116 | Zbl 0652.57005

[Ja] W. Jaco, Lectures on three-manifold topology, CBMS Regional Conference Series in Mathematics 43, Amer. Math. Soc, Providence, R.I. 1980. | Article | MR 565450 | Zbl 0433.57001

[JS] W. H. Jaco, P. B. Shalen, Seifert fibred spaces in 3-manifolds, Mem. Amer. Math. Soc. 220 (1979). | MR 539411 | Zbl 0415.57005

[Joh] K. Johannson, Homotopy equivalences of 3-manifolds with boundary, Lecture Notes in Mathematics 761, Springer Verlag, Berlin 1979. | MR 551744 | Zbl 0412.57007

[Jon] K. Jones, The structure of closed nonpositively curved Euclidean cone 3-manifolds, Pacific J. of Math. 163 (1994), 297-313. | Article | MR 1262299 | Zbl 0809.57006

[Kap] M. Kapovich, Hyperbolic Manifolds and Discrete Groups: Notes on Thurston's Hyperbolization, Progress in Mathematics 183, Birkhäuser, Basel 2000. | MR 1792613 | Zbl 0958.57001

[Kir] R. Kirby, Problems in Low-Dimensional Topology, in "Geometric topology (Athens, G A, 1993)" (ed. by W.H. Kazez), AMS/IP Stud. Adv. Math. 2.2, Amer. Math. Soc., Providence, RI 1997 (pp. 35-473). | MR 1470751 | Zbl 0888.57014

[Koj] S. Kojima, Deformations of hyperbolic 3-cone-manifolds J. Diff. Geom. 49 (1998), 469-516. | Article | MR 1669649 | Zbl 0990.57004

[KS] S. Kwasik, R. Schultz, Icosahedral group actions on 𝐑 3 , Invent. Math. 108 (1992), 385-402. | Article | MR 1161098 | Zbl 0771.57014

[Lau] F. Laudenbach, Topologie de la dimension trois - homotopie et isotopie, Astérisque 12 (1974). | Numdam | MR 356056 | Zbl 0293.57004

[Mai] S. Maillot, Quasi-isométries, groupes de surfaces et orbifolds fibrées de Seifert, Thèse Université Paul Sabatier (2000).

[Mar] A. Marden, The geometry of finitely generated Kleinian groups, Ann. of Math. 99 (1974), 383-496. | Article | MR 349992 | Zbl 0282.30014

[Mas1] B. Maskit, On Klein's combination theorem III, in "Advances in the theory of Riemann Surfaces" (ed. by L. Ahlfors et al.), Ann. of Math. Studies 66, Princeton Univ. Press, Princeton NJ 1971 (pp. 297-316). | MR 289768 | Zbl 0222.30029

[Mas2] B. Maskit, Kleinian Groups, Springer Verlag, Berlin 1988. | MR 959135 | Zbl 0627.30039

[MT] K. Matsuzaki, M. Taniguchi, Hyperbolic manifolds and Kleinian groups, Oxford Math. Monographs, Oxford University Press, New York 1998. | MR 1638795 | Zbl 0892.30035

[McCMi] D. Mccullough, A. Miller, Manifold covers of 3-orbifolds with geometric pieces, Topology and its Appl. 31 (1989), 169-185. | Article | MR 994409 | Zbl 0673.57014

[McMl] C. Mcmullen, Iteration on Teichmüller space, Invent. Math. 99 (1990), 425-454. | Article | MR 1031909 | Zbl 0695.57012

[McM2] C. Mcmullen, Renormalization and 3-manifolds which fibre over the Circle, Annals of Math. Studies 144, Princeton University Press, Princeton NJ 1996. | MR 1401347 | Zbl 0860.58002

[MS] W. H. Meeks, P. Scott, Finite group actions on 3-manifolds, Invent. Math. 86 (1986), 287-346. | Article | MR 856847 | Zbl 0626.57006

[MY1] W. H. Meeks, S. T. Yau, Topology of three-dimensional manifolds and the embedding problems in minimal surface theory, Ann. of Math. 112 (1980), 441-484. | Article | MR 595203 | Zbl 0458.57007

[MY2] W. H. Meeks, S. T. Yau, The equivariant Dehn's Lemma and Loop Theorem Comment. Math. Helv. 56 (1981), 225-239. | Article | MR 630952 | Zbl 0469.57005

[MY3] W. H. Meeks, S. T. Yau, Group actions on 𝐑 3 , in "The Smith Conjecture" (ed. by H. Bass, J.W. Morgan), Pure and Applied Mathematics 112, Academic Press, Orlando, Fl 1984 (pp. 167-179). | MR 758468 | Zbl 0599.57007

[Mon] J. M. Montesinos-Amilibia, Classical Tessellations and Three-Manifolds, Springer-Verlag, Berlin 1987. | Article | MR 915761 | Zbl 0626.57002

[Mor1] J. W. Morgan, On Thurston's uniformization theorem for three-dimensional manifolds, in "The Smith Conjecture" (ed. by H. Bass, J.W. Morgan), Pure and Applied Mathematics 112, Academic Press, Orlando, Fl 1984 (pp. 37-125). | Article | MR 758464 | Zbl 0599.57002

[Mor2] J. W. Morgan, Actions de groupes finis sur 𝕊 3 : la conjecture de Smith, Séminaire Bourbaki 578, Springer Lecture Notes Math 901, Berlin 1981. | Article | Numdam | MR 647502 | Zbl 0483.57022

[MB] J. W. Morgan, H. Bass, The Smith Conjecture, Pure and Applied Mathematics 112, Academic Press, Orlando, Fl 1984. | Article | MR 758460 | Zbl 0599.57001

[Mos] G. D. Mostow, Strong rigidity of locally symmetric spaces, Ann. of Math. Stud. 78, Princeton University Press, Princeton, NJ 1973. | MR 385004 | Zbl 0265.53039

[Mum1] D. Mumford, A remark on Mahler's compactness theorem, Proc. AMS 28 (1971), 289-294. | MR 276410 | Zbl 0215.23202

[Mum2] D. Mumford, Algebraic Geometry I: Complex Projective Varieties, Springer Verlag, Berlin 1976. | MR 453732 | Zbl 0821.14001 | Zbl 0356.14002

[Ne] M. H. A. Newmann, A theorem on periodic transformations of spaces, Quart. Journal 2 (1931), 1-8. | JFM 57.0496.02 | Zbl 0001.22703

[OVZ] P. Orlik, E. Vogt, H. Zieschang, Zur Topologie gefaserter dreidimensionaler Mannigfaltigkeiten, Topology 6 (1967), 49-64. | Article | MR 212831 | Zbl 0147.23503

[Ot1] J.-P. Otal, Le théorème d'hyperbolisation pour les variétés fibrées de dimension 3, Astérisque 235 (1996). | Numdam | MR 1402300 | Zbl 0855.57003

[Ot2] J.-P. Otal, Thurston's hyperbolization of Haken manifolds, in "Surveys in differential geometry, Vol. III (Cambridge, MA, 1996)", Int. Press, Boston, MA, 1998 (pp. 77-194). | MR 1677888 | Zbl 0997.57001

[OP] J.-P. Otal, F. Paulin, Le Théorème d'hyperbolization de Thurston, manuscrit.

[Pau] F. Paulin, Topologie des variétés de dimension 3 à coins: miroitages et hiérarchies, Preprint ENS Lyon, 1992.

[Pe] S. Peters, Convergence of Riemannian manifolds, Compositio. Math. 62 (1987), 3-16. | Numdam | MR 892147 | Zbl 0618.53036

[PP] C. Petronio, J. Porti, Negatively oriented ideal triangulations and a proof of Thurston's hyperbolic Dehn filling theorem, Expo. Math. 18 (2000), 1-35. | MR 1751141 | Zbl 0977.57011

[Po1] J. Porti, Torsion de Reidemeister pour les Variétés Hyperboliques, Mem. Amer. Math. Soc. 128 (1997). | MR 1396960

[Po2] J. Porti, Regenerating hyperbolic and spherical cone structures from Euclidean ones, Topology 37 (1998), 365-392. | Article | MR 1489209 | Zbl 0897.58042

[Rag] M. S. Raghunatan, Discrete Subgroups of Lie Groups, Springer Verlag, Berlin 1972. | MR 507234 | Zbl 0254.22005

[Rat] J. G. Ratcliffe, Foundations of Hyperbolic Manifolds, Springer Verlag, Berlin 1994. | MR 1299730 | Zbl 0809.51001

[Riv] I. Rivin, A characterization of ideal polyhedra in hyperbolic 3-space, Ann. of Math. 143 (1996), 51-70. | Article | MR 1370757 | Zbl 0874.52006

[Sak] T. Sakai, Riemannian Geometry, Amer. Math. Soc, Providence RI 1996. | MR 1390760 | Zbl 0886.53002

[Sc1] P. Scott, A new proof of the annulus and torus theorems, Amer. J. Math. 102 (1980), 241-277. | Article | MR 564473 | Zbl 0439.57004

[Sc2] P. Scott, There are no fake Seifert fibre spaces with infinite π 1 , Ann. of Math. 117 (1983), 35-70. | Article | MR 683801 | Zbl 0516.57006

[Sc3] P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc. 15 (1983), 401-487. | Article | MR 705527 | Zbl 0561.57001

[Sel] A. Selberg, On discontinuous groups in higher-dimensional symmetric spaces, in "Contributions to Function Theory" (ed. by K. Chandrasekharan) Tata Inst, of Fund. Research, Mumbay 1960 (147-164). | MR 130324 | Zbl 0201.36603

[Ser] J.-P. Serre, Arbres, amalgames SL 2 , Astérisque 46 (1983). | Numdam | MR 476875 | Zbl 0369.20013

[Som] T. Soma, The Gromov invariant of links, Invent. Math. 64 (1981), 445-454. | Article | MR 632984 | Zbl 0478.57006

[SOK] T. Soma, K. Ohshika, S. Kojima, Towards a proof of Thurston's geometrization theorem for orbifolds, RIMS Kôkyûroku 568 (1985), 1-72. | MR 863475

[Sta] J. Stallings, On fibreing certain 3-manifolds, in "Topology of 3-manifolds and related topics", Prentice-Hall, Englewood Cliffs, NJ 1962 (95-100). | MR 158375 | Zbl 1246.57049

[Sua] E. Suárez Peiró, Poliedros de Dirichlet de 3-variedades cónicas y sus deformaciones, Ph.D. Thesis Univ. Compl. Madrid 1998.

[Takl] Y. Takeuchi, Waldhausen's classification theorem for finitely uniformizable 3-orbifolds, Trans. Amer. Math. Soc. 328 (1991), 151-200. | MR 1065604 | Zbl 0751.57009

[Tak2] Y. Takeuchi, Partial solutions of the bad orbifold conjecture, Topology and its Appl. 72 (1996), 113-120. | Article | MR 1404270 | Zbl 0864.57011

[TaY1] Y. Takeuchi, M. Yokoyama, The geometric realizations of the decompositions of 3-orbifold fundamental groups, Topology and its Appl. 95 (1999), 129-153. | Article | MR 1696444 | Zbl 0924.57013

[TaY2] Y. Takeuchi, M. Yokoyama, Waldhauserís classification theorem for 3-orbifolds, Kyushu J. Math. 54 (2000), 371-401. | Article | MR 1793173 | Zbl 0961.57013

[To1] J. L. Tollefson, Involutions of sufficiently large 3-manifolds, Topology 20 (1981), 323-352. | Article | MR 617370 | Zbl 0469.57031

[To2] J. L. Tollefson, Periodic homeomorphisms of 3-manifolds fibred over S 1 Trans. Amer. Math. Soc. 223 (1976), 223-234. | MR 431177 | Zbl 0347.57003 | Zbl 0357.55012

J. L. Tollefson, See also erratum: Trans. Amer. Math. Soc. 243 (1978), 309-310. | MR 515645 | Zbl 0389.57002

[Thu1] W. P. Thurston, The geometry and topology of 3-manifolds, Princeton Math. Dept. 1979.

[Thu2] W. P. Thurston, Three dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982), 357-381. | Article | MR 648524 | Zbl 0496.57005

[Thu3] W. P. Thurston, Hyperbolic Structures on 3-manifolds, I: Deformations of acylindrical manifolds, Annals of Math. 124 (1986), 203-246. | Article | MR 855294 | Zbl 0668.57015

[Thu4] W. P. Thurston, Hyperbolic Structures on 3-manifolds, II: Surface groups and manifolds which fibre over S 1 , Preprint 1986.

[Thu5] W. P. Thurston, Hyperbolic Structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary, Preprint 1986.

[Thu6] W. P. Thurston, Three-manifolds with symmetry, Preprint 1982.

[Thu7] W. P. Thurston, Three-dimensional geometry and topology Vol. 1, Ed. by S. Levy. Princeton University Press, Princeton, NJ 1997. | MR 1435975 | Zbl 0873.57001

[Yam] T. Yamaguchi, Collapsing and pinching under a lower curvature bound, Ann. of Math. 133 (1991), 317-357. | Article | MR 1097241 | Zbl 0737.53041

[Wa1] F. Waldhausen, Eine Klasse von 3-dimensionalen Mannigfaltigkeiten I and II, Invent. Math. 3 (1967), 308-333. | Article | MR 235576 | Zbl 0168.44503

[Wa1] F. Waldhausen, Eine Klasse von 3-dimensionalen Mannigfaltigkeiten I and II, Invent. Math. 4 (1967), 87-117. | Article | MR 235576 | Zbl 0168.44503

[Wa2] F. Waldhausen, Gruppen mit Zentrum und 3-dimensionale Mannigfaltigkeiten, Topology 6 (1967), 505-517. | Article | MR 236930 | Zbl 0172.48704

[Wa3] F. Waldhausen, On irreducible 3-manifolds which are suffiently large, Ann. of Math. 87 (1968), 56-88. | Article | MR 224099 | Zbl 0157.30603

[Wei] A. Weil, Remarks on the cohomology of groups, Ann. of Math. 80 (1964), 149-157. | Article | MR 169956 | Zbl 0192.12802

[Zh1] Q. Zhou, 3-dimensional Geometric Cone Structures, PhD. Thesis, University of California, L.A. 1989.

[Zh2] Q. Zhou, The Moduli Space or Hyperbolic Cone Structures, J. Diff. Geom. 51 (1999), 517-550. | Article | MR 1726738 | Zbl 1026.57012

[Zie] H. Zieschang, On the homeotopy group of surfaces, Math. Ann. 206 (1973), 1-21. | Article | MR 335794 | Zbl 0248.55001