Structures géométriques sur les variétés de dimension $3$ et applications

Structures géométriques sur les variétés de dimension

3

et applications

Bonahon, Francis

Directeur de thèse : Siebenmann, Laurent Carl

Membres du jury : Cerf, Jean ; Laudenbach, François ; Morin, Bernard ; Siebenmann, Laurent Carl ; Sullivan, Dennis ; Temam, Roger ; Thruston, William

Thèses d'Orsay, no. 169 (1985) , 210 p.

Export
Comment citer

@phdthesis{BJHTUP11_1985__0169__P0_0,
     author = {Bonahon, Francis},
     title = {Structures g\'eom\'etriques sur les vari\'et\'es de dimension $3$ et applications},
     series = {Th\`eses d'Orsay},
     publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
     number = {169},
     year = {1985},
     language = {fr},
     url = {http://archive.numdam.org/item/BJHTUP11_1985__0169__P0_0/}
}

TY  - BOOK
AU  - Bonahon, Francis
TI  - Structures géométriques sur les variétés de dimension $3$ et applications
T3  - Thèses d'Orsay
PY  - 1985
IS  - 169
PB  - Université de Paris-Sud Centre d'Orsay
UR  - http://archive.numdam.org/item/BJHTUP11_1985__0169__P0_0/
LA  - fr
ID  - BJHTUP11_1985__0169__P0_0
ER  -

%0 Book
%A Bonahon, Francis
%T Structures géométriques sur les variétés de dimension $3$ et applications
%S Thèses d'Orsay
%D 1985
%N 169
%I Université de Paris-Sud Centre d'Orsay
%U http://archive.numdam.org/item/BJHTUP11_1985__0169__P0_0/
%G fr
%F BJHTUP11_1985__0169__P0_0

Bonahon, Francis. Structures géométriques sur les variétés de dimension $3$ et applications. Thèses d'Orsay, no. 169 (1985), 210 p. http://numdam.org/item/BJHTUP11_1985__0169__P0_0/

Bibliographie
Cité par

[Bo1] F. Bonahon, Involutions et fibres de Seifert dans les variétés de dimension $3$ , Thèse de 3e cycle, Orsay, 1979.

[Bo2] F. Bonahon, Cobordisrne des difféomorphisrnes de surfaces, C.R. Acad. Sc. Paris 290 (1980), 765-767. | MR | Zbl

[Bo3] F. Bonahon, Cobordism of automorphisms of surfaces, Ann. Sc. Ec. Norm. Sup. 16 (1983), 237-270. | MR | Zbl | Numdam | DOI

[Bo4] F. Bonahon, Ribbon fibred knots, cobordism of surface diffeomorphisms and pseudo-Anosov diffeomorphisms, Math. Proc. Camb. Phil. Soc. 94 (1983), 235-251 . | MR | Zbl | DOI

[Bo5] F. Bonahon, Difféotopies des espaces lenticulaires, Topology 22 (1983), 305-314. | MR | Zbl | DOI

[Bo6] F. Bonahon, Bouts des variétés hyperboliques de dimension trois, à paraître à Annals of Mathematics. | MR | Zbl

[BO1] F. Bonahon, J.-P. Otal, Scindements de Heegaard des espaces lenticulaires, C.R. Acad. Sc. Paris 294 (1982), 585-587. | MR | Zbl

[BO2] F. Bonahon, J.-P. Otal, Scindements de Heegaard des espaces lenticulaires, Ann. Sc. Ec. Norm. Sup. 16 (1983), 451-466. | MR | Zbl | Numdam | DOI

[BS1] F. Bonahon, L.C. Siebenmann, The classification of Seifert fibered $3$ -orbifolds, dans Low Dimensional Topology, (R. Fenn ed.), L.M.S. series n° 95, Cambridge University Press, 1985. | MR | Zbl | DOI

[BS2] F. Bonahon, L.C. Siebenmann, Seifert $3$ -orbifolds and their role as natural crystalline parts of arbitrary compact irreducible $3$ -orbifolds, Prépublication IHES et Orsay, 1983 (voir également [BS1]).

[BS3] F. Bonahon, L.C. Siebenmann, New geometric splittings of classical knots and links, volume en préparation, à paraître à Cambridge University Press.

[CG] A. Casson, C. Mca. Gordon, A loop theorem for duality spaces and fibred ribbon knots, Invent. Math. 74 (1983), 119-137. | MR | Zbl | DOI

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

[JS] W. Jaco, P. Shalen, Seifert fibered spaces in $3$ -manifolds, Memoirs A.M.S. n° 220, 1979. | MR | Zbl

[Jo] K. Johannson, Homotopy equivalences of $3$ -manifolds with boundaries, Springer Lecture Notes n° 761, 1979. | MR | Zbl

[Kr1] M. Kreck, Cobordism of odd dimensional diffeomorphisms, Topology 15 (1976), 353-361. | MR | Zbl | DOI

[Kr2] M. Kreck, Bordism of diffeomorphisms, Bull. Amer. Math. Soc. 82 (1976), 759-761. | MR | Zbl | DOI

[Me] P. Melvin, Bordism of diffeomorphisms, Topology 18 (1979), 173-175. | MR | Zbl | DOI

[Sch] H. Schubert, Knoten mit zwei Brücken, Math. Zeit. 65 (1956), 133-170. | MR | Zbl | DOI

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

[Th1] W.P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, I, note non mubliée, 1976. | Zbl

[Th2] W.P. Thurston, The geometry and topology of $3$ -manifolds, Notes de cours, Université de Princeton, 1976-79.

[Th3] W.P. Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982), 357-381. | MR | Zbl | DOI

[Bo] F. Bonahon, Cobordisme des difféomorphismes de surfaces (C. R. Acad. Sc., Paris, T. 290, série A, 1980, pp. 765-767). | MR | Zbl

[BS] F. Bonahon and L. C. Siebhnmann, New Geometric Splittings for Knots and Links, to appear.

[Ca] A. Casson, Cobordism Invariants of Automorphisms of Surfaces, Handwritten Notes, Orsay, 1979.

[EE] A. Edmonds and J. Ewing, Remarks on the Cobordism Group of Surface Diffeomorphisms (Math. Ann., Vol. 259. 1982, pp. 497-504). | MR | Zbl | DOI

[FL] A. Fathi and F. Laudenbach, Difféomorphismes pseudo-Anosov et décompositions de Heegaard (C. R. Acad. Sc. Paris. T. 291, série A, 1980, pp. 423-425). | MR | Zbl

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

[HW] G. Hardy and E. Wright, An Introduction to the Theory of Numbers, Oxford University Press, 1938. | Zbl | MR

[JS] W. Jaco and P. Shalen, Seifert Fibered Spaces in 3-Manifolds (Memoirs A.M.S., n° 220, 1979). | MR | Zbl

[Jo] J. Johannson, Homotopy Equivalences of 3-Manifolds with Boundaries (Springer Lecture Notes, n° 761, 1979). | MR | Zbl

[JJ] J. Johannson and D. Johnson, Non-Bounding Surface Diffeomorphisms which Act Trivially on the Homology, preprint, 1980.

[Kn] H. Kneser, Geschlossen Flächen in dreidimensionalen Mannigfaltigkeiten (Jber. Deutsch. Math. Verein., Vol. 38, 1929, pp. 248-260). | JFM

[Kr] M. Kreck, Cobordism of Odd Dimensional Diffeomorphisms (Topology, vol. 15, 1976, pp. 353-361). | MR | Zbl | DOI

[Kr2] M. Kreck, Bordism of Diffeomorphisms (Bull. Amer. Math. Soc., vol. 82, 1976, pp. 759-761). | MR | Zbl | DOI

[LM] S. Lopez De Medrano, Cobordism of Diffeomorphisms of $(k - 1)$ -Connected $2 k$ -Manifolds, Second Conference on Compact Transformations Groups, 217-227, Amherst, Springer, 1972. | MR | Zbl | DOI

[MP] W. Meeks and J. Patrusky, Representing Homology Classes by Embedded Circles on a Compact Surface (Illinois J. Math., Vol. 22, 1978, pp. 262-269). | MR | Zbl

[MY] W. Meeks and S.-T. Yau, Topology of Three Dimensional Manifolds and the Embedding Problems in Minimal Surface Theory (Ann. Math., Vol. 112, 1980, pp. 441-484). | MR | Zbl | DOI

[Me] P. Melvin, Bordism of Diffeomorphisms (Topology, Vol. 18, 1979, pp. 173-175). | MR | Zbl | DOI

[Mi] J. Milnor, A Unique Decomposition Theorem for $3$ -Manifolds (Amer. J. Math., 84, 1962, pp. 1-7). | MR | Zbl | DOI

[Mo] G. Mostow, Quasiconformal Mappings in $n$ -Space and the Rigidity of Hyperbolic Space Forms, Publ. Math. Inst, des Hautes Études Scient., Paris, Vol. 34, 1968, pp. 53-104. | MR | Zbl | Numdam | DOI

[Ni1] J. Nielsen, Untersuchung zur Topologie der Geschlossenen Zweiseitigen, Flachen I, II, and III, Acta Mathematica, Vol. 50, 1927 ; Vol. 53, 1929, and Vol. 58, 1931. | MR | JFM | DOI

[Ni2] J. Nielsen, Abbildungsklassen endlicher Ordnung (Acta Math., Vol. 75, 1942, pp. 23-115). | MR | Zbl | DOI

[Pr] G. Prasad, Strong rigidity of $ℚ$ -rank $1$ lattices (Invent. Math., Vol. 21, 1973, pp. 255-286). | MR | Zbl | DOI

[Sc] M. Scharlemann, The Subgroup of $Δ_{2}$ Generated by Automorphisms of Tori (Math. Ann., Vol. 251, 1980, pp. 263-268). | MR | Zbl | DOI

[Te1] O. Teichmüller, Extremale quasiconforme Abbildungen und quadratische Differentiale (Abh. Preuss. Akad. Wiss., Vol. 22, 1939, pp. 187). | MR | JFM | Zbl

[Te2] O. Teichmüller, Bestimmung der extremalen quasiconformem Abbildungen bei geschlossenen orientierten Riemannschen Fläschen, Abh. Preuss. Akad. Wiss, Vol. 4, 1943, pp. 42. | MR | Zbl

[Th1] W. Thurston, On the Geometry and Dynamics of Diffeomorphisms of Surfaces I, preprint, Princeton University, 1976; for a complete account, see [FLP]. | MR | Zbl

[Th2] W. Thurston, The Geometry and Topology of $3$ -Manifolds (Mimeographed Notes, Princeton University, 1976-1979).

[Th3] W. Thurston, Hyperbolic Structures on $3$ -manifolds, preprint, Princeton University, 1980. | Zbl | MR

[Wa1] F. Waldhausen, Eine Klasse von $3$ -dimensionalen Mannigfaltigkeiten, I and II (Inventiones Math., Vol. 3, 1967, pp. 308-333 and Vol. 4, 1967, pp. 87-117). | MR | Zbl | DOI

[Wa2] F. Waldhausen, On Irreducible Manifolds Which are Sufficently Large (Ann. Math., Vol. 87, 1968, pp. 56-88). | MR | Zbl | DOI

[Wi] H. Winkelnkemper, On equators of Manifolds and the Actions of $θ^{n}$ (Thesis, Princeton University, 1970). | MR

[Z] H. Zieschang, Uber einfache Kurven auf Vollbrezeln (Abh. Math. Semin. Univ. Hamburg, Vol. 25, 1962, pp. 231-250). | MR | Zbl | DOI

(1) Berman, A. and Plemmons, R. J. Nonnegative matrices in the mathematical sciences (Academic Press, 1979). | MR | Zbl

(2) Birman, J. S. and Kidwell, M. (to appear).

(3) Blanchfield, R. C. Intersection theory of manifolds with operators with applications to knot theory. Ann. of Math. 65 (1957), 340-356. | MR | Zbl | DOI

(4) Bonahon, F., Cobordism of automorphisms of surfaces. Ann. Sci. Éc. Norm. Sup. 16 (1983), 1-34. | MR | Zbl | Numdam

(5) Casson, A. Cobordism invariants of automorphisms of surfaces. (Handwritten notes, Orsay, 1979.)

(6) Casson, A. and Gordon, C. Mca. Cobordism of classical knots. (Preprint, Orsay, 1975.)

(7) Casson, A. and Gordon, C. Mca. On slice knots in dimension three. Proc. Sympos. Pure Math. 32, part II (1978), 39-53. | MR | Zbl | DOI

(8) Casson, A. and Gordon, C. Mca. A loop theorem for duality spaces and fibred ribbon knots. (Preprint, 1982.) | MR | Zbl

(9) Chillingworth, D. R. J. A finite set of generators for the homotopy group of a non-orientable surface. Math. Proc. Cambridge Philos. Soc. 65 (1969), 409-430. | MR | Zbl | DOI

(10) Edmonds, A. L. and Ewing, J. H. Remarks on the cobordism group of surface diffeomorphisms. Math. Ann. 259 (1982), 497-504. | MR | Zbl | DOI

(11) Epstein, D. B. A. Curves on $2$ -manifolds and isotopies. Acta Math. 115 (1966), 83-107. | MR | Zbl | DOI

(12) Fathi, A., Laudenbach, F. and Poenaru, V. Travaux de Thurston sur les surfaces, Astérisque no. 66-67 (1979). | Numdam | MR

(13) Freedman, M. H. The topology of four-dimensional manifolds. J. Differential Geom. 17 (1982), 357-453. | MR | Zbl | DOI

(14) Gilmer, P. M. On the slice genus of knots. Invent. Math. 66 (1982), 191-197. | MR | Zbl | DOI

(15) Harer, J. How to construct all fibered knots and links. Topology 21 (1982), 263-280. | MR | Zbl | DOI

(16) Johannson, K. Homotopy equivalences of $3$ -manifolds with boundaries. Springer Lecture Notes, vol. 761 (1979). | MR | Zbl

(17) Johannson, K. and Johannson, D. Non-bounding surface diffeomorphisms which act trivially on the homology. (Preprint, 1980.)

(18) Kirby, R. C. A calculus for framed links. Invent. Math. 45 (1978), 35-56. | MR | Zbl | DOI

(19) Kreck, M. Bordism of diffeomorphisms. Bull. Am. Math. Soc. 82 (1976), 759-761. | MR | Zbl | DOI

(20) Levine, J. Knot cobordism groups in codimension two. Comment. Math. Helv. 44 (1969), 229-244. | MR | Zbl | DOI

(21) Milnor, J. W. Infinite cyclic coverings. Topology of manifolds, ed. J. Hocking, Prindle Weber & Schmidt, 1968), pp. 115-133. | MR | Zbl

(22) Morton, H. R. Fibred knots with a given Alexander polynomial. (Preprint, 1982.) | MR | Zbl

(23) Murasugi, K. On a certain subgroup of an alternating link. Amer. J. Math. 85 (1963), 544-550. | MR | Zbl | DOI

(24) Penner, R. C. A computation of the action of the mapping class group on isotopy classes of curves and arcs on surfaces. Thesis M.I.T. (1982). | MR

(25) Rolfsen, D. Knots and links (Publish or Perish, Berkeley, 1976). | MR | Zbl

(26) Stallings, J. On fibering certain $3$ -manifolds. Topology of $3$ -manifolds and related topics, ed. Fort (Prentice Hall, 1962). | MR | Zbl

(27) Stallings, J. Constructions of fibred knots and links. Proc. Sympos. Pure Math. 32, part II (1978), 55-60. | MR | Zbl | DOI

(28) Thurston, W. P. The geometry and dynamics of diffeomorphisms of surfaces. (Preprint, Princeton University, 1976.)

(29) Thurston, W. P. The geometry and topology of $3$ -manifolds. (Lecture Notes, Princeton University, 1976-9.)

(30) Waldhausen, F. On irreducible manifolds which are sufficiently large. Ann. Math. 87 (1968), 56-88. | MR | Zbl | DOI

(31) Papadopoulos, A. Réseaux ferroviaires, difféomorphismes pseudo-Anosov et automorphismes symplectiques de l'homologie d'une surface. Thèse de troisième cycle, Orsay (1983).

1. J. Birman et J. Rubinstein : Homeotopy groups of a class of $3$ -manifolds. Proc. London Math. Soc. 49 (1984).

2. A. Hatcher et W. Thurston : Incompressible surfaces in two-bridge knot complements, invent. Math. 79 (1985), 225-246. | Zbl | DOI

3. N. Ivanov : Homotopy of space of automorphisms of some three-dimensional manifolds (traduction anglaise). Sov. Math. Dokl. 20 (1979), 47-50. | Zbl

4. R. Kirby : Problems in low-dimensional manifold theory. Proc. Symposia in Pure Mathematics 32, Part 2 (1978), 273-312. | Zbl | DOI

5. P. Orlik, E. Vogt et H. Zieschang : Zur Topologie gefaserter dreidimensionaler Mannigfaltigkeiten. Topology 6 (1967), 49-64. | Zbl | DOI

6. K. Reidemeister : Homotopieringe und Linsenräume. Abh. Math. Sem. Hamburg 11 (1936), 102-109. | JFM | Zbl | DOI

7. J. Rubinstein : On $3$ -manifolds that have finite fundamental group and contain Klein bottles. Trans. Am. Math. Soc. 251 (1979), 129-137. | Zbl | DOI

8. H. Schubert : Knoten und Vollringe. Acta Math. 90 (1953), 131-286. | Zbl | DOI

9. H. Schubert : Über eine numerische Knoteninvariante. Math. Zeit. 61 (1954), 245-288. | Zbl | DOI

10. H. Schubert : Knoten mit zwei Brücken. Math. Zeit. 65 (1956), 133-170. | Zbl | DOI

11. F. Waldhausen: Eine Klasse von $3$ -dimensionalen Mannigfaltigkeiten, I and II Inventiones Math. 3 (1967), 308-333 et 4 (1967), 87-117. | Zbl | DOI

12. F. Bonahon et J.-P. Otal : Scindements de Heegaard des espaces lenticulaires, Ann. Sci. Ec. Norm. Sup. 16 (1983), 451-466. | Zbl | Numdam | DOI

13. J. Cerf : Sur les diffeomorphismes de la sphere de dimension $3 (Γ_{4} = 0)$ , Lecture Notes in Mathematics n° 53, Springer Verlag, 1968. | Zbl

14. J. Cheeger et D.G. Ebin : Comparison theorems in Riemannian geometry, North Holland, 1975. | Zbl

15. J. Hempel : $3$ -manifolds, Ann. of Math. Studies n° 86, Princeton Univ. Press, 1976. | Zbl

16. J.A. Wolf: Spaces of constant curvature, Publish or Perish, 1974. | Zbl

[Ahl1] L.V. Ahlfors, Finitely generated Kleinian groups, Amer. J. Math. 86 (1964), 413-423. | Zbl | DOI

[Ahl2] L.V. Ahlfors, Fundamental polyhedrons and limit point sets of Kleinian groups, Proc. Nat. Acad. Sci. USA, 55 (1966), 251-254. | Zbl | DOI

[Apa1] B.N. Apanasov, Geometrically finite groups of space transformations (en russe), Sibirsk. Math. Zh. 23 (1982), 16-27 (771-779 pour la traduction anglaise). | Zbl

[Apa2] B.N. Apanasov, Geometrically finite hyperbolic structures on manifolds, Ann. Glob. Analysis and Geometry 1 (1983), 1-22. | Zbl | DOI

[Bea] A.F. Beardon, The geometry of discrete groups, Springer Verlag, 1983. | Zbl | DOI

[BeaM] A.F. Beardon, B. Maskit, Limit points of Kleinian groups and finite-sided fundamental polyhedra, Acta Math. 132 (1974), 1-12. | Zbl | DOI

[Ber1] L. Bers, Simultaneous uniformization, Bull. Amer. Math. Soc. 66 (1960), 94-97. | Zbl | DOI

[Ber2] L. Bers, On boundaries of Teichmüller spaces and on Kleinian groups I, Ann. of Math. 91 (1970), 570-600. | Zbl | DOI

[Ber3] L. Bers, What is a Kleinian group ?, dans A crash course on Kleinian groups, Springer Lecture Notes n° 400, 1974. | Zbl | DOI

[Ber4] L. Bers, Finite dimensional Teichmiiller spaces and generalizations, Bull. Amer. Math. Soc. 5 (1981), 131-172. | Zbl | DOI

[Bon] F. Bonahon, Courants homotopiques et courants géodésiques, article en préparation.

[Bou] N. Bourbaki, Eléments de mathématiques, livre VI (Intégration), Hermann, 1965.

[BowS] R. Bowen, C. Series, Markov maps associated with Fuchsian groups, Publi. Math. IHES 50 (1979), 153-170. | Zbl | MR | Numdam | DOI

[BusK] P. Buser, H. Karcher, Gromov's almost flat manifolds, Astérisque n° 81, Société Mathématique de France, 1981. | Zbl | Numdam

[Cas] A. Casson, Automorphisms of surfaces after Nielsen and Thurston, Notes de cours (rédaction de S. Bleiler), Université du Texas at Austin, 1982. | Zbl

[Che] J. Cheeger, Finiteness theorems for Riemannian manifolds, Amer. J. Math. 92 (1970), 61-74. | Zbl | DOI

[CheE] J. Cheeger, D.G. Ebin, Comparison theorems in Riemannian geometry, North Holland, 1975 | Zbl

[EbON] P. Eberlein, B. O'Neill, Visibility manifolds, Pacific J. Math. 46 (1973), 45-109. | Zbl | DOI

[Eps] D.B.A. Epstein, Ends, dans Topology of $3$ -manifolds and related topics (édité par M.K. Fort), Prentice Hall, 1962. | Zbl

[Flo] W.J. Floyd, Group completions and limit sets of Kleinian groups, Invent. Math. 57 (1980), 205-218. | Zbl | DOI

[FHS] M. Freedman, J. Hass, P. Scott, Least area incompressible surfaces in 3-manifolds, Invent. Math. 71 (1983), 609-642. | Zbl | DOI

[Fre] H. Freudenthal, Uber die Enden topologischer Raüme und Gruppen, Math. Zeit. 33 (1931), 692-713. | Zbl | JFM | DOI

[Gro1] M. Gromov, Three remarks on geodesic dynamics and fundamental groups, article non publié (1976). | Zbl

[Gro2] M. Gromov, Manifolds of negative curvature, J. Diff. Geom. 13 (1978), 223-230. | Zbl

[Gro3] M. Gromov, Almost flat manifolds, J. Diff. Geom. 13 (1978), 231-242. | Zbl

[Gro4] M. Gromov, Structures métriques pour les variétés riemanniennes (rédaction de J. Lafontaine et P. Pansu), Cedic-Fernand-Nathan, 1981. | Zbl

[HarP] J.L. Harer, R.C. Penner, Combinatorics of train tracks, Prépublication, Universités du Maryland et de Princeton, 1984. | Zbl

[Hem] J. Hempel, $3$ -manifolds, Annals of Math. Studies n° 86, Princeton University Press, 1976. | Zbl

[Jor] T. Jørgensen, Compact $3$ -manifolds of constant negative curvature fibering over the circle, Ann. of Math. 106 (1977), 61-72. | Zbl | DOI

[KulS] R.S. Kulkarni, P.B. Shalen, Topological aspects of Ahlfors's finiteness theorem, Prépublication (1984).

[Mar] A. Marden, The geometry of finitely generated Kleinian groups, Annals of Math. 99 (1974), 383-462. | Zbl | DOI

[MeeY] W.H. Meeks Iii, S-T. Yau, The equivariant loop theorem for three-dimensional manifolds and a review of the existence theorems for minimal surfaces, dans The Smith Conjecture (édité par H. Bass et J. Morgan), Academic Press, 1984. | Zbl

[Mes] G. Mess, Thèse, Université de Berkeley, 1985.

[Mil] J.W. Milnor, A note on curvature and the fundamental group, Journal of Diff. Geometry 2 (1968), 1-7. | Zbl

[Mor] J.W. Morgan, On Thurston's unifoimization theorem for the three-dimensional manifolds, dans The Smith Conjecture (édité par H. Bass et J. Morgan), Academic Press, 1984. | Zbl

[Mors] H.M. Morse, A one-to-one representation of geodesics on a surface of negative curvature, Amer. J. Math. 43 (1921), 33-51. | JFM | DOI

[Pap] A. Papadopoulos, Réseaux ferroviaires, difféomorphismes pseudo-Anosov, et automorphismes symplectiques de l'homologie d'une surface, Thèse de 3e cycle et Publication mathématique d'Orsay n° 83/03, 1983. | Zbl

[Poi] H. Poincare, Mémoire sur les groupes kleinéens, Acta Math. 3 (1883), 49-92. | JFM | DOI

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

[RueS] D. Ruelle, D. Sullivan, Currents, flows and diffeomorphisms, Topology 14 (1975), 319-327. | Zbl | DOI

[Sco1] G.P. Scott, Finitely generated $3$ -manifold groups are finitely presented, J. London Math. Soc. 6 (1973), 437-440. | Zbl | DOI

[Sco2] G.P. Scott, Compact submanifolds of $3$ -manifolds, J. London Math. Soc. 7 (1973), 246-250. | Zbl | DOI

[Sel] A. Selberg, On discontinuous groups in higher dimensional symmetric spaces, dans Colloquium Function Theory, Tata Institute, 1960. | Zbl

[Ser] C. Series, Symbolic dynamics for geodesic flows, Acta Math. 146 (1981), 103-128. | Zbl | DOI

[Sie] L.C. Siebenmann, The obstruction to finding a boundary for an open manifold of dimension greater than five, Thèse Université de Princeton, 1965.

[Sig] K. Sigmund, On dynamical systems with the specification property, Trans. Amer. Math. Soc. 190 (1974), 285-299. | Zbl | DOI

[Sul1] D. Sullivan, On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions, Proceedings of the Stony Brook conference on Riemann surfaces and related topics, Annals of Math. Studies n° 97, Princeton University Press, 1981. | Zbl | DOI

[Sul2] D. Sullivan, The density at infinity of a discrete group of hyperbolic motions, Publ. Math. IHES, 50 (1979), 171-202. | Zbl | Numdam | DOI

[Sul3] D. Sullivan, A finiteness theorem for cusps, Acta Math. 147 (1981), 289-299. | Zbl | DOI

[Thu1] W.P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, I, article non publié, 1975. | Zbl

[Thu2] W.P. Thurston, The geometry and topology of $3$ -manifolds, Notes de cours, Université de Princeton, 1976-79.

[Thu3] W.P. Thurston, The geometry and topology of $3$ -manifolds, Livre à paraître à Princeton University Press (version révisée des §§ 1 à 6 et du § 13 de [Thu2]).

[Thu4] W.P. Thurston, Three dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982), 357-381. | Zbl | DOI

[Thu5] W.P. Thurston, Hyperbolic structures on $3$ -manifolds, I : deformations of acyiindrical manifolds, prépublication, 1980. | Zbl

[Thu6] W.P. Thurston, Hyperbolic structures on $3$ -manifolds, II : surface groups and $3$ -manifolds which fiber over the circle, Prépublication, 1980.

[Thu7] W.P. Thurston, Hyperbolic structures on $3$ -manifolds : Overall logic, notes informelles, 1980.

[Wal1] F. Waldhausen, Eine Klasse von $3$ -dimensionalen Mannigfaltigkeiten, Invent. Math. 3 (1967), 308-333 and Vol. 4 (1967), 87-117. | Zbl | DOI

[Wal2] F. Waldhausen, On irreducible $3$ -manifolds which are sufficiently large, Ann. of Math. 87 (1968), 56-88. | Zbl | DOI

[Wol] J.A. Wolf, Spaces of constant curvature, Publish or Perish, 1974. | Zbl