Geometrization of 3-orbifolds of cyclic type
Geometrization of 3-orbifolds of cyclic type, Astérisque, no. 272 (2001), pp. i-208.
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Boileau, Michel; Porti, Joan. Geometrization of $3$-orbifolds of cyclic type, dans 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. | DOI | MR | Zbl

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

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

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

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

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

[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 | Zbl

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

[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. | DOI | EuDML | MR | Zbl

[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 | Zbl

[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 | Zbl

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

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

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

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

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

[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 | Zbl

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

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

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

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

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

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

[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 | Zbl

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

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

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

[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 | Zbl

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

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

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

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

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

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

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

[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. | DOI | EuDML | MR | Zbl

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

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

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

[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 | Zbl

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

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

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

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

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

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

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

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

[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 | Zbl

[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. | DOI | MR | Zbl

[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. | DOI | EuDML | MR | Zbl

[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. | DOI | MR | Zbl

[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 | Zbl

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

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

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

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

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

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

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

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

[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 | Zbl

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

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

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

[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. | DOI | MR | Zbl

[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 | 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 University Press, New York 1998. | MR | Zbl

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

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

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

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

[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. | DOI | MR | Zbl

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

[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 | Zbl

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

[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). | DOI | MR | Zbl

[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. | DOI | EuDML | Numdam | MR | Zbl

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

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

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

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

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

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

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

[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 | Zbl

[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. | EuDML | Numdam | MR | Zbl

[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 | Zbl

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

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

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

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

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

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

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

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

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

[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 | Zbl

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

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

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

[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 | Zbl

[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 | Zbl

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

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

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

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

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

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

[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. | DOI | MR | Zbl

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

[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 | Zbl

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

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

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

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

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

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

[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. | DOI | MR | Zbl

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