Algebraic limits of Kleinian groups which rearrange the pages of a book

Inventiones Mathematicae

Volumn 126, Issue 2, 1996, Pages 205-214

  Anderson, James W ^a,c   Canary, Richard D ^b  

^a RICE UNIVERSITY   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030520548     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050094     Document Type: Article

References (28)

1. Anderson, J.W., Canary, R.D.: Cores of hyperbolic 3-manifolds and limits of Kleinian groups, Amer. J. Math. (to appear)
2. Anderson, J.W., Canary, R.D., McCullough, D.: Shuffling homotopy equivalences and deformation spaces of Kleinian groups, in preparation
3. Bonahon, F., Otal, J.P.: Variétés hyperboliques à géodésiques arbitrairement courtes. Bull. L.M.S. 20, 255-261 (1988)
4. Branner, B.: Puzzles and para-puzzles of quadratic and cubic polynomials, in Complex Dynamical Systems, Proc. Symp. in Appl. Math. 49, 31-69 (1994)
5. Canary, R.D., McCullough, D.: Homotopy equivalences of 3-manifolds and deformation theory of Kleinian groups, in preparation
6. Canary, R.D., Minsky, Y.N.: On limits of tame hyperbolic 3-manifolds, J. Diff. Geom., 43, 1-41 (1996)
7. Chuckrow, V.: On Schottky groups with applications to Kleinian groups, Ann. Math. 88, 47-61 (1968)
8. Comar, T.D.: Hyperbolic Dehn surgery and convergence of Kleinian groups, Ph.D. Thesis, University of Michigan, 1996
9. Culler, M., Shalen, P.B.: Volumes of hyperbolic Haken manifolds I, Invent, math. 118, 285-329 (1994)
10. Jaco, W., Shalen, P.B.: Seifert fibered spaces in 3-manifolds, Memoirs of the American Mathematical Society 220 (1979)
11. Johannson, K.: Homotopy equivalences of 3-manifolds with boundaries, Lecture notes in Mathematics, vol. 761, Springer-Verlag, 1979
12. Jørgensen, T.: On cyclic groups of Mobius transformations, Math. Scand. 33, 250-260 (1973)
13. Jørgensen, T.: On discrete groups of Möbius transformations, Amer. J. Math. 98, 739-749 (1976)
14. Jørgensen, T., Klein, P.: Algebraic convergence of finitely generated Kleinian groups, Quart. J. Math. Oxford 33, 325-332 (1982)
15. Jørgensen, T., Marden, A.: Algebraic and geometric convergence of Kleinian groups, Math. Scand. 66, 47-72 (1990)
16. Kerckhoff, S.P., Thurston, W.P.: Non-continuity of the action of the mapping class group at Bers' boundary of Teichmüller space, Invent. math. 100, 25-47 (1990)
17. Marden, A.: The geometry of finitely generated Kleinian groups, Ann. of Math. 99, 383-462 (1974)
18. Marden, A.: Geometric relations between homeomorphic Riemann surfaces, Bull. A.M.S. 3, 1001-1017 (1980)
19. Maskit, B.: Kleinian groups, Springer-Verlag, 1988
20. Maskit, B.: Panelled web groups, in Kleinian groups and related topics, ed. by D.M. Gallo and R.M. Porter, Lecture Notes in Mathematics, vol. 971, Springer-Verlag, 1983
21. McCullough, D., Miller, A., Swarup, G.A.: Uniqueness of cores of non-compact 3-manifolds, J. London Math. Soc. 32, 548-556 (1985)
22. Morgan, J.W.: On Thurston's uniformization theorem for three-dimensional manifolds, in The Smith Conjecture, ed. by J. Morgan and H. Bass, Academic Press, 37-125 (1984)
23. Ohshika, K.: Ending laminations and boundaries for deformation spaces of Kleinian groups, J. London Math. Soc. 42, 111-121 (1990)
24. Ohshika, K.: Geometric behaviour of Kleinian groups on boundaries for deformation spaces, Quart. J. Math. Oxford 43, 97-111 (1992)
25. Ohshika, K.: Kleinian groups which are limits of geometrically finite groups, preprint
26. Sullivan, D.P.: Quasiconformal homeomorphisms and dynamics II: Structural stability implies hyperbolicity of Kleinian groups, Acta Math. 155, 243-260 (1985)
27. Thurston, W.P.: The geometry and topology of 3-manifolds, lecture notes, Princeton University
28. Thurston, W.P.: Hyperbolic structures on 3-manifolds II: Surface groups and 3-manifolds which fiber over the circle (preprint)