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Volumn 138, Issue 1, 1999, Pages 103-149

Geometry of the complex of curves I: Hyperbolicity

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EID: 0033473346     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050343     Document Type: Article
Times cited : (717)

References (43)
  • 4
    • 51249183531 scopus 로고
    • An extremal problem for quasiconformal mappings and a theorem by Thurston
    • 4. L. Bers, An extremal problem for quasiconformal mappings and a theorem by Thurston, Acta Math. 141 (1978), 73-98
    • (1978) Acta Math. , vol.141 , pp. 73-98
    • Bers, L.1
  • 5
    • 0002672089 scopus 로고
    • Notes on Gromov's hyperbolicity criterion for path-metric spaces
    • (Trieste, 1990), World Scientific Publishing
    • 5. B. Bowditch, Notes on Gromov's hyperbolicity criterion for path-metric spaces, Group theory from a geometrical viewpoint (Trieste, 1990), World Scientific Publishing, 1991, pp. 64-167
    • (1991) Group Theory from a Geometrical Viewpoint , pp. 64-167
    • Bowditch, B.1
  • 6
    • 0002937116 scopus 로고
    • Geodesics and curvature in metric simplicial complexes
    • ICTP Trieste 1990 (E. Ghys, A. Haefliger, and A. Verjovsky, eds.), World Scientific
    • 6. M. R. Bridson, Geodesics and curvature in metric simplicial complexes, Group Theory from a Geometrical Viewpoint, ICTP Trieste 1990 (E. Ghys, A. Haefliger, and A. Verjovsky, eds.), World Scientific, 1991, pp. 373-463
    • (1991) Group Theory from a Geometrical Viewpoint , pp. 373-463
    • Bridson, M.R.1
  • 8
    • 0002079365 scopus 로고
    • The theory of negatively curved spaces and groups
    • (Trieste, 1989), Oxford Univ. Press
    • 8. J. Cannon, The theory of negatively curved spaces and groups, Ergodic theory, symbolic dynamics, and hyperbolic spaces (Trieste, 1989), Oxford Univ. Press, 1991, pp. 315-369
    • (1991) Ergodic Theory, Symbolic Dynamics, and Hyperbolic Spaces , pp. 315-369
    • Cannon, J.1
  • 11
    • 0032221787 scopus 로고    scopus 로고
    • Relatively hyperbolic groups
    • 11. B. Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998), 1-31
    • (1998) Geom. Funct. Anal. , vol.8 , pp. 1-31
    • Farb, B.1
  • 15
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • Essays in Group Theory (S. M. Gersten, ed.), Springer-Verlag
    • 15. M. Gromov, Hyperbolic groups, Essays in Group Theory (S. M. Gersten, ed.), MSRI Publications no. 8, Springer-Verlag, 1987
    • (1987) MSRI Publications , vol.8
    • Gromov, M.1
  • 16
    • 0000237356 scopus 로고
    • Stability of the homology of the mapping class group of an orientable surface
    • 16. J. Harer, Stability of the homology of the mapping class group of an orientable surface. Ann. Math. 121 (1985), 215-249
    • (1985) Ann. Math. , vol.121 , pp. 215-249
    • Harer, J.1
  • 17
    • 34250127993 scopus 로고
    • The virtual cohomological dimension of the mapping class group of an orientable surface
    • 17. J. Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math. 84 (1986), 157-176
    • (1986) Invent. Math. , vol.84 , pp. 157-176
    • Harer, J.1
  • 18
    • 0001265737 scopus 로고
    • Boundary structure of the modular group
    • Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference (I. Kra and B. Maskit, eds.), Princeton
    • 18. W. J. Harvey, Boundary structure of the modular group, Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference (I. Kra and B. Maskit, eds.), Ann. Math. Stud. 97, Princeton, 1981
    • (1981) Ann. Math. Stud. , vol.97
    • Harvey, W.J.1
  • 19
    • 0002880533 scopus 로고
    • Measured lamination spaces for surfaces, from the topological viewpoint
    • 19. A. E. Hatcher, Measured lamination spaces for surfaces, from the topological viewpoint, Topology Appl. 30 (1988), 63-88
    • (1988) Topology Appl. , vol.30 , pp. 63-88
    • Hatcher, A.E.1
  • 20
    • 0002491779 scopus 로고
    • Complexes of curves and the Teichmüller modular group
    • 20. N. V. Ivanov, Complexes of curves and the Teichmüller modular group, Uspekhi Mat. Nauk 42 (1987), 55-107
    • (1987) Uspekhi Mat. Nauk , vol.42 , pp. 55-107
    • Ivanov, N.V.1
  • 21
    • 0000020222 scopus 로고
    • Complexes of curves and Teichmüller spaces
    • 21. N. V. Ivanov, Complexes of curves and Teichmüller spaces, Math. Notes 49 (1991), 479-484
    • (1991) Math. Notes , vol.49 , pp. 479-484
    • Ivanov, N.V.1
  • 22
    • 1842665153 scopus 로고    scopus 로고
    • Automorphisms of complexes of curves and of Teichmüller spaces
    • 22. N. V. Ivanov, Automorphisms of complexes of curves and of Teichmüller spaces, Internat. Math. Res. Notices (1997), no. 14, 651-666
    • (1997) Internat. Math. Res. Notices , vol.14 , pp. 651-666
    • Ivanov, N.V.1
  • 23
    • 0001516668 scopus 로고
    • Collars on Riemann surfaces, discontinuous groups and Riemann surfaces
    • (Proc. Conf., Univ. Maryland 1973), Princeton
    • 23. L. Keen, Collars on Riemann surfaces, Discontinuous groups and Riemann surfaces (Proc. Conf., Univ. Maryland 1973), Ann. Math. Studies 79, Princeton, 1974, pp. 263-268
    • (1974) Ann. Math. Studies , vol.79 , pp. 263-268
    • Keen, L.1
  • 24
    • 0002277431 scopus 로고
    • The asymptotic geometry of Teichmüller space
    • 24. S. Kerckhoff, The asymptotic geometry of Teichmüller space, Topology 19 (1980), 23-41
    • (1980) Topology , vol.19 , pp. 23-41
    • Kerckhoff, S.1
  • 25
    • 0000113561 scopus 로고
    • The Nielsen realization problem
    • 25. S. Kerckhoff, The Nielsen realization problem, Ann. Math. 117 (1983), 235-265
    • (1983) Ann. Math. , vol.117 , pp. 235-265
    • Kerckhoff, S.1
  • 26
    • 84958429324 scopus 로고
    • Simplicial systems for interval exchange maps and measured foliations
    • 26. S. Kerckhoff, Simplicial systems for interval exchange maps and measured foliations, Ergodic Theory and Dynamical Systems 5 (1985), 257-271
    • (1985) Ergodic Theory and Dynamical Systems , vol.5 , pp. 257-271
    • Kerckhoff, S.1
  • 28
    • 0000705306 scopus 로고
    • On a class of geodesies in Teichmüller space
    • 28. H. A. Masur, On a class of geodesies in Teichmüller space, Ann. Math. 102 (1975), 205-221
    • (1975) Ann. Math. , vol.102 , pp. 205-221
    • Masur, H.A.1
  • 29
    • 77949309366 scopus 로고
    • The extension of the Weil-Petersson metric to the boundary of Teichmüller space
    • 29. H. A. Masur, The extension of the Weil-Petersson metric to the boundary of Teichmüller space, Duke Math. J. 43 (1976), 623-635
    • (1976) Duke Math. J. , vol.43 , pp. 623-635
    • Masur, H.A.1
  • 30
    • 0000742775 scopus 로고
    • Interval exchange transformations and measured foliations
    • 30. H. A. Masur, Interval exchange transformations and measured foliations, Ann. Math. 115 (1982), 169-200
    • (1982) Ann. Math. , vol.115 , pp. 169-200
    • Masur, H.A.1
  • 33
    • 84972511018 scopus 로고
    • Harmonic maps, length and energy in Teichmüller space
    • 33. Y. Minsky, Harmonic maps, length and energy in Teichmüller space, J. Diff. Geom. 35 (1992), 151-217
    • (1992) J. Diff. Geom. , vol.35 , pp. 151-217
    • Minsky, Y.1
  • 34
    • 43949163630 scopus 로고
    • Teichmüller geodesics and ends of hyperbolic 3-manifolds
    • 34. Y. Minsky, Teichmüller geodesics and ends of hyperbolic 3-manifolds, Topology 32 (1993), 625-647
    • (1993) Topology , vol.32 , pp. 625-647
    • Minsky, Y.1
  • 35
    • 0009197644 scopus 로고    scopus 로고
    • Extremal length estimates and product regions in Teichmüller space
    • 35. Y. Minsky, Extremal length estimates and product regions in Teichmüller space, Duke Math J. 83 (1996), 249-286
    • (1996) Duke Math J. , vol.83 , pp. 249-286
    • Minsky, Y.1
  • 37
    • 85014788300 scopus 로고    scopus 로고
    • Quasi-projections in Teichmüller space
    • 37. Y. Minsky, Quasi-projections in Teichmüller space, J. Reine Angew. Math. 473 (1996), 121-136
    • (1996) J. Reine Angew. Math. , vol.473 , pp. 121-136
    • Minsky, Y.1
  • 38
    • 84968517859 scopus 로고
    • Bounds on least dilatations
    • 38. R. Penner, Bounds on least dilatations, Proc. Amer. Math. Soc. 113 (1991), 443-450
    • (1991) Proc. Amer. Math. Soc. , vol.113 , pp. 443-450
    • Penner, R.1
  • 39
    • 0003362027 scopus 로고
    • Combinatorics of train tracks
    • Princeton University Press
    • 39. R. Penner and J. Harer, Combinatorics of train tracks, Ann. Math. Studies no. 125, Princeton University Press, 1992
    • (1992) Ann. Math. Studies , vol.125
    • Penner, R.1    Harer, J.2
  • 41
    • 84968476184 scopus 로고
    • On the geometry and dynamics of diffeomorphisms of surfaces
    • 41. W. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988), 417-431
    • (1988) Bull. Amer. Math. Soc. , vol.19 , pp. 417-431
    • Thurston, W.1
  • 42
    • 84972492630 scopus 로고
    • Geodesic length functions and the Nielsen problem
    • 42. S. A. Wolpert, Geodesic length functions and the Nielsen problem, J. Differential Geom. 25 (1987), 275-296
    • (1987) J. Differential Geom. , vol.25 , pp. 275-296
    • Wolpert, S.A.1
  • 43
    • 84972529349 scopus 로고
    • The hyperbolic metric and the geometry of the universal curve
    • 43. S. A. Wolpert, The hyperbolic metric and the geometry of the universal curve, J. Differential Geom. 31 (1990), 417-472
    • (1990) J. Differential Geom. , vol.31 , pp. 417-472
    • Wolpert, S.A.1


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