Surfaces transverse to pseudo-anosov flows and virtual fibers in 3-manifolds

Topology

Volumn 38, Issue 4, 1999, Pages 823-859

  Fenley, Sérgio R ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033164372     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(98)00030-5     Document Type: Article

References (40)

1. Anosov, D.V., Geodesic flows on closed Riemannian manifolds with negative curvature. Proceedings of the Steklov Institute of Mathematics, 1969, 90.
2. Barbot, T., Caractérisation des flots d'Anosov en dimension 3 par leurs feuilletages faibles. Ergodic Theory Dynamical Systems, 1995, 15, 247-270.
3. Bleiler, S. and Casson, A., Automorphims of surfaces after Nielsen and Thurston. London Mathematical Society Student Texts, 9, Cambridge University Press, Cambridge, 1988.
4. Bonahon, F., Bouts des variétés hyperboliques. Annals of Mathematics, 1986, 124, 71-158.
5. Brittenham, M., Essential laminations in Seifert fibered spaces. Topology, 1993, 32, 61-85.
6. Cannon, J. and Thurston, W., Group Invariant Peano Curves, to appear.
7. Cooper, D., Long, D. and Reid, A., Bundles and finite foliations. Inventiones Mathematicae, 1994, 118, 255-283.
8. Cooper, D., Long, D. and Reid, A., Finite foliations and similarity interval exchange maps. Topology, 1997, 36, 209-227.
9. Fenley, S., Asymptotic properties of depth one foliations in hyperbolic 3-manifolds. Journal of Differential Geometry, 1992, 36, 269-313.
10. Fenley, S., Anosov flows in 3-manifolds. Annals of Mathematics, 1994, 139, 79-115.
11. Fenley, S., One sided branching in Anosov foliations. Commentarii Mathematici Helvetici, 1995, 70, 248-266.
12. Fenley, S., The structure of branching in Anosov flows of 3-manifolds. Commentarii Mathematici Helvetici, 1998, 73, 259-297.
13. Fenley, S., Incompressible tori transverse to Anosov flows in 3-manifolds. Ergodic Theory Dynamical Systems, 1997, 17, 105-121.
14. Fenley, S., Foliations with Good Geometry, to appear.
15. Fenley, S. and Mosher, L., Quasigeodesic Flows in Hyperbolic 3-manifolds, to appear.
16. Fried, D., Transitive Anosov flows and pseudo-Anosov flows. Topology, 1982, 21, 299-303.
17. Gabai, D., Foliations and the topology of 3-manifolds. Journal of Differential Geometry, 1983, 18, 445-503.
18. Gabai, D. and Oertel, U., Essential laminations and 3-manifolds. Annals of Mathematics, 1989, 130, 41-73.
19. Greenberg, M. J. and Harper, J. R., Algebraic Topology, a First Course, Benjamin-Cummings, New York, 1981.
20. Haefliger, A., Varietés feuilletèes. Annali della Scuola Normale Superiore di Pisa, 1962, 16 (3), 367-397.
21. Hector, G. and Hirsch, U., Introduction to the Geometry of Foliations, Part A, 2nd. Edn. Vieweg, Braunschweig, 1986.
22. Hempel, J., 3-manifolds, Annals of Mathematics Studies 86, Princeton University Press, Princeton, NJ, 1976.
23. Johannson, K., Homotopy Equivalences of 3-manifolds with Boundaries, Lecture Notes in Mathematics 761, Springer, Berlin, 1979.
24. Levitt, G., Foliations and laminations in hyperbolic surfaces, Topology, 1983, 22, 119-135.
25. Mangum, B., Thesis, University of California, Santa Barbara, 1996.
26. Marden, A., The geometry of finitely generated Kleinian groups. Annals of Mathemtics, 1974, 99, 383-462.
27. Mosher, L., Dynamical systems and the homology norm of a 3-manifold I. Efficient intersection of surfaces and flows. Duke Mathematical Journal, 1992, 65, 449-500.
28. Mosher, L., Dynamical systems and the homology norm of a 3-manifold II. Inventiones Mathematicae, 1992, 107, 243-281.
29. Mosher, L., Laminations and Flows Transverse to Finite Depth Foliations, preprint.
30. Novikov, S. P., Topology of foliations. Transactions of the Moscow Mathematical Society, 1963, 14, 268-305.
31. Plante, J., Anosov flows, transversely affine foliations and a conjecture of Verjovsky. Journal of London Mathematical Society. Second Series, 1981, 23, 359-362.
32. Reeb, G., Sur certaines propriétés topologiques des variétés feuilletées. Actualités Scientifiques Industrielles, No 1182, Herman, Paris, 1982.
33. Stallings, J., On fibering certain 3-manifolds. Topology of 3-manifolds, Prentice-Hall, Englewood Cliffs, NJ, 1962, pp. 95-100.
34. Strebel, K., Quadratic Differentials. Springer, Berlin, 1984.
35. Thurston, W., The Geometry and Topology of 3-manifolds. Princeton University Lecture Notes, Princeton, NJ, 1982.
36. Thurston, W., Hyperbolic Structures on 3-manifolds II: Surface Groups and 3-manifolds that Fiber over the Circle, preprint.
37. Thurston, W., On the geometry and dynamics of diffeomorphisms of surfaces. Bulletin of the American Mathematical Society, 1988, 19, 417-431.
38. Thurston, W., 3-dimensional manifolds, Kleinian groups and hyperbolic geometry. Bulletin of the American Mathematical Society, 1982, 6 (new series), 357-381.
39. Waldhausen, F., On irreducible 3-manifolds which are sufficiently large. Annals of Mathematics, 1968, 87, 56-88.
40. Zeghib, A., Sur les feuilletages géodésiques continus des variétés hyperboliques. Inventiones Mathematicae, 1993, 114, 193-206.