Three dimensional manifolds, Kleinian groups and hyperbolic geometry
Author:
William P. Thurston
Journal:
Bull. Amer. Math. Soc. 6 (1982), 357-381
MSC (1980):
Primary 57M99, 30F40, 57S30; Secondary 57M25, 20H15
DOI:
https://doi.org/10.1090/S0273-0979-1982-15003-0
MathSciNet review:
648524
Full-text PDF
References | Similar Articles | Additional Information
- Lipman Bers, Finite-dimensional Teichmüller spaces and generalizations, Bull. Amer. Math. Soc. (N.S.) 5 (1981), no. 2, 131–172. MR 621883, https://doi.org/10.1090/S0273-0979-1981-14933-8
-
[Can, Th] J. Cannon and W. Thurston, Sphere-filling curves and limit sets of Kleinian groups (to appear).
- M. Culler, W. Jaco, and H. Rubinstein, Incompressible surfaces in once-punctured torus bundles, Proc. London Math. Soc. (3) 45 (1982), no. 3, 385–419. MR 675414, https://doi.org/10.1112/plms/s3-45.3.385
-
[F, H] W. Floyd and A. Hatcher, Incompressible surfaces in 2-bridge link complements (to appear).
-
[F, L, P] A. Fathi, F. Laudenbach, V. Poénaru et al., Travaus de Thurston sur les surfaces, Astérisque 66-67, Société Mathématique de France, 1979.
-
[Hak] W. Haken, Theorie der Normal Flachen, Acta Math. 105 (1961), 5. MR 141106
-
[Hat] A. Hatcher, Incompressible surfaces in once-punctured torus bundles (to appear).
- A. Hatcher and W. Thurston, Incompressible surfaces in 2-bridge knot complements, Invent. Math. 79 (1985), no. 2, 225–246. MR 778125, https://doi.org/10.1007/BF01388971
- William H. Jaco and Peter B. Shalen, Seifert fibered spaces in 3-manifolds, Mem. Amer. Math. Soc. 21 (1979), no. 220, viii+192. MR 539411, https://doi.org/10.1090/memo/0220
- Klaus Johannson, Homotopy equivalences of 3-manifolds with boundaries, Lecture Notes in Mathematics, vol. 761, Springer, Berlin, 1979. MR 551744
- William H. Meeks III and Shing Tung Yau, Topology of three-dimensional manifolds and the embedding problems in minimal surface theory, Ann. of Math. (2) 112 (1980), no. 3, 441–484. MR 595203, https://doi.org/10.2307/1971088
-
[Mey] R. Meyerhoff, The Chern-Simons invariant for hyperbolic 3-manifolds, thesis, Princeton University, 1981.
-
[Mil 1] J. Milnor, A unique factorization theorem for 3-manifolds, Amer. J. Math. 84 (1962), 1-7. MR 142125
-
[Mil 2] J. Milnor, Hyperbolic geometry: the first 150 years, proceedings.
-
[Mos 1] G. D. Mostow, Strong rigidity of locally symmetric spaces, Ann. Math. Studies, No. 78, Princeton Univ. Press, Princeton, N.J., 1973. MR 385004
-
[Mos 2] G. D. Mostow, Inst. Hautes Études Sci. Publ. Math.
-
[Poin] H. Poincaré, Cinquième complèment a l'analysis situs, Rend. Circ. Mat. Palermo 18 (1904), 45-110, or Oeuvres, t. VI, pp. 435-498.
-
[Pras] G. Prasad, Strong rigidity of Q-rank 1 lattices, Invent. Math., 5-6. MR 385005
-
[Ril] R. Riley, Discrete parabolic representations of link groups, Mathematika 22 (1975), 141-150. MR 425946
- H. Seifert, Topologie Dreidimensionaler Gefaserter Räume, Acta Math. 60 (1933), no. 1, 147–238 (German). MR 1555366, https://doi.org/10.1007/BF02398271
-
[Smi] Proceedings of the Smith Conjecture Conference at Columbia University, (to appear).
-
[Sta] J. Stallings, On fibering certain-3-manifolds, Prentice-Hall, Engelwood Cliffs, N.J., 1962, pp. 95-100. MR 158375
-
[Sul 1] D. Sullivan, Discrete conformal groups and measurable dynamics, these proceedings.
-
[Sul 2] D. Sullivan,
-
[Th 1] W. Thurston, The geometry and topology of 3-manifolds, preprint, Princeton Univ. Press (to appear).
- William P. Thurston, Hyperbolic structures on 3-manifolds. I. Deformation of acylindrical manifolds, Ann. of Math. (2) 124 (1986), no. 2, 203–246. MR 855294, https://doi.org/10.2307/1971277
-
[Th 3] W. Thurston, Hyperbolic structures on 3-manifolds, II: surface groups and 3-manifolds which fiber over the circle.
- William P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.) 19 (1988), no. 2, 417–431. MR 956596, https://doi.org/10.1090/S0273-0979-1988-15685-6
-
[Wal] F. Waldhausen, On irreducible 3-manifolds which are sufficiently large, Ann. of Math. (2) 87 (1968), 56-88. MR 224099
Retrieve articles in Bulletin of the American Mathematical Society with MSC (1980): 57M99, 30F40, 57S30, 57M25, 20H15
Retrieve articles in all journals with MSC (1980): 57M99, 30F40, 57S30, 57M25, 20H15
Additional Information
DOI:
https://doi.org/10.1090/S0273-0979-1982-15003-0