Systems of bands in hyperbolic 3-manifolds

Pacific Journal of Mathematics

Volumn 232, Issue 1, 2007, Pages 1-42

  Bowditch, Brian H ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

3 Manifolds; Hyperbolic geometry

Indexed keywords

EID: 70349762594     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2007.232.1     Document Type: Article

References (20)

1. G. Bell and K. Fujiwara, "The asymptotic dimension of the curve graph is finite", preprint, 2005. math.GT/0509216.
2. F. Bonahon, "Bouts des variétés hyperboliques de dimension 3", Ann. of Math. (2) 124:1 (1986), 71-158.
3. F. Bonahon and J.-P. Otal, "Variétés hyperboliques à géodésiques arbitrairement courtes", Bull. London Math. Soc. 20 (1988), 255-261.
4. B. H. Bowditch, "Tight geodesics in the curve complex", preprint, University of Southampton, 2003. To appear in Inv. Math.
5. B. H. Bowditch, "End invariants of hyperbolic 3-manifolds", preprint, University of Southampton, 2005.
6. B. H. Bowditch, "Geometric models for hyperbolic 3-manifolds", preprint, University of Southampton, 2005.
7. J. F. Brock, "Iteration of mapping classes and limits of hyperbolic 3-manifolds", Invent. Math. 143:3 (2001), 523-570.
8. J. Brock, R. D. Canary, and Y. Minsky, "Classification of Kleinian surface groups, II: The ending lamination conjecture", preprint, 2004. math.GT/0412006.
9. J. Brock, R. D. Canary, and Y. Minsky, "The classification of finitely-generated Kleinian groups" . in preparation.
10. 2×I ", Trans. Amer. Math. Soc. 123 (1966), 480-505.
11. R. D. Canary, "A covering theorem for hyperbolic 3-manifolds and its applications", Topology 35:3 (1996), 751-778.
12. M. Freedman, J. Hass, and P. Scott, "Least area incompressible surfaces in 3-manifolds", Invent. Math. 71:3 (1983), 609-642.
13. M. Gromov, Metric structures for Riemannian and non-Riemannian spaces, Prog. Math. 152, Birkhäuser, Boston, 2007.
14. Y. Kida, "The mapping class group from the viewpoint of measure equivalence theory", preprint, 2005. To appear in Mem. Amer. Math. Soc. math/0512230.
15. Y. N. Minsky, "The classification of punctured-torus groups", Ann. of Math. (2) 149:2 (1999), 559-626.
16. Y. N. Minsky, "The classification of Kleinian surface groups, I: Models and bounds", preprint, SUNY Stony Brook, 2002.
17. J.-P. Otal, "Sur le nouage des géodésiques dans les variétés hyperboliques", C. R. Acad. Sci. Paris Sér. I Math. 320:7 (1995), 847-852.
18. J.-P. Otal, "Les géodésiques fermées d'une variété hyperbolique en tant que noeuds", pp. 95-104 in Kleinian groups and hyperbolic 3-manifolds (Warwick, 2001), London Math. Soc. Lecture Note Ser. 299, Cambridge Univ. Press, Cambridge, 2003.
19. T. Soma, "Geometric limits of quasifuchsian groups", preprint, Tokyo Denki Univ., 2003.
20. W. P. Thurston, "The geometry and topology of three-manifolds", lecture notes, Princeton University, 1979, Available at http://msri.org/publications/books/gt3m.