On the geometry and dynamics of diffeomorphisms of surfaces

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Zentralblatt MATH: 0176.19101

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Zentralblatt MATH: 0389.30018

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Zentralblatt MATH: 0535.57016

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[Bonahon2] F. Bonahon, Bouts des variétés hyperboliques de dimension 3, Ann. of Math. (2) 124 (1986), 71-158.

Zentralblatt MATH: 0671.57008

Mathematical Reviews (MathSciNet): MR847953

[CasBlei] A. J. Casson, Notes by S. A. Bleiler, Automorphisms of surfaces, after Nielsen and Thurston, Preprint (1982).

Zentralblatt MATH: 0649.57008

Mathematical Reviews (MathSciNet): MR964685

[CasLong] A. J. Casson and D. D. Long, Algorithmic compression of surface automorphisms, preprint.

Zentralblatt MATH: 0589.57008

Mathematical Reviews (MathSciNet): MR799268

[CulMor] M. Culler and J. W. Morgan, Group actions on R-trees, Proc. London Math. Soc. (to appear).

Zentralblatt MATH: 0658.20021

Mathematical Reviews (MathSciNet): MR907233

[CulShal1] M. Culler and P. Shalen, Varieties of group representation and splittings of 3-manifolds, Ann. of Math. (2) 117 (1983), 43-45.

Zentralblatt MATH: 0529.57005

Mathematical Reviews (MathSciNet): MR683804

[CulShal2] M. Culler and P. Shalen, Bounded, separating surfaces in knot manifolds, Invent. Math. 75 (1984), 537-545.

Zentralblatt MATH: 0542.57011

Mathematical Reviews (MathSciNet): MR735339

[FatLau] A. Fathi and F. Laudenbach, Diffeomorphismes pseudo-Anosov et decomposition de Heegaard, C. R. Acad. Sci. Paris Ser. A-B 291 (1980), A423-A425.

Zentralblatt MATH: 0459.57007

Mathematical Reviews (MathSciNet): MR596088

[Fathi1] A. Fathi, The Poisson bracket on the space of measured foliations on a surface, Duke J. Math.

[Fathi2] A. Fathi, Dehn twists and pseudo-Anosov diffeomorphisms, preprint.

Zentralblatt MATH: 0618.58027

Mathematical Reviews (MathSciNet): MR862715

[FLP] A. Fathi, F. Laudenbach and V. Poenaru et al., Travaux de Thurston sur les surfaces, Astérisque 66-67 (1979), 1-284.

Zentralblatt MATH: 0446.57010

Mathematical Reviews (MathSciNet): MR568308

[Fried1] D. Fried, Transitive Anosov flows and pseudo-Anosov maps, Topology 22 (1983), 299-303.

Zentralblatt MATH: 0516.58035

Mathematical Reviews (MathSciNet): MR710103

[Fried2] D. Fried, Flow equivalence, hyperbolic systems and a new zeta function for flows, Comment. Math. Helv. 57 (1982), 237-259.

Zentralblatt MATH: 0503.58026

Mathematical Reviews (MathSciNet): MR684116

[Fried3] D. Fried, Growth rate of surface homeomorphisms and flow equivalence, preprint.

Zentralblatt MATH: 0603.58020

Mathematical Reviews (MathSciNet): MR829857

[GerKat] M. Gerber and A. Katok, Smooth models of Thurston's pseudo-Anosov maps, Ann. Sci. École Norm. Sup. 15 (1982), 173-204.

Zentralblatt MATH: 0502.58029

Mathematical Reviews (MathSciNet): MR672479

[Gilman1] J. Gilman, On the Nielsen type and the classification for the mapping-class group, Adv. in Math. 40 (1981), 68-96.

Zentralblatt MATH: 0474.57005

Mathematical Reviews (MathSciNet): MR616161

[Gilman2] J. Gilman, Determining Thurston classes using Nielsen types, Trans. Amer. Math. Soc. 272 (1982), 669-675.

Zentralblatt MATH: 0507.57005

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[Gard] F. P. Gardiner, Teichmüller theory and quadratic differentials, Wiley, New York, 1987.

Zentralblatt MATH: 0629.30002

Mathematical Reviews (MathSciNet): MR903027

[Handel1] M. Handel, Global shadowing of pseudo-Anosov homeomorphisms, Ergodic Theory and Dynamical Systems (to appear).

Zentralblatt MATH: 0576.58025

Mathematical Reviews (MathSciNet): MR805836

[Handel2] M. Handel, Entropy and semi-conjugacy in dimension 2, Ergodic Theory and Dynamical Systems (to appear).

Zentralblatt MATH: 0675.58025

Mathematical Reviews (MathSciNet): MR980798

[HanTh] M. Handel and W. P. Thurston, Anosov flows on new three-manifolds, Invent. Math.

Zentralblatt MATH: 0435.58019

Mathematical Reviews (MathSciNet): MR577356

[HanTh] M. Handel and W. P. Thurston, New proofs of some results of Nielsen, Adv. in Math. 56 (1985), 173-191.

Zentralblatt MATH: 0584.57007

Mathematical Reviews (MathSciNet): MR788938

[HatTh] A. Hatcher and W. Thurston, Incompressible surfaces in 2-bridge knot complements, Invent. Math. 79 (1985), 225-246.

Zentralblatt MATH: 0602.57002

Mathematical Reviews (MathSciNet): MR778125

[Harer] J. Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. (2) 121 (1985), 215-249.

Zentralblatt MATH: 0579.57005

Mathematical Reviews (MathSciNet): MR786348

[HubMas] J. Hubbard and H. Masur, Quadratic differentials and foliations, Acta Math. 142 (1979), 221-274.

Zentralblatt MATH: 0415.30038

Mathematical Reviews (MathSciNet): MR523212

[Kerckhoff1] S. P. Kerckhoff, The asymptotic geometry of Teichmüller space, Topology 19 (1980), 23-41.

Zentralblatt MATH: 0439.30012

Mathematical Reviews (MathSciNet): MR559474

[Kerckhoff2] S. P. Kerckhoff, The Nielsen realization problem, Ann. of Math. (2) 117 (1983), 235-265.

Zentralblatt MATH: 0528.57008

Mathematical Reviews (MathSciNet): MR690845

[Kerckhoff3] S. P. Kerckhoff, Earthquakes are analytic, Comment. Math. Helv. 60 (1985), 17-30.

Zentralblatt MATH: 0575.32024

Mathematical Reviews (MathSciNet): MR787659

[KMS] S. Kerckhoff, H. Masur and J. Smillie, Ergodicity of billiard flows and quadratic differentials, Ann. of Math. (2) 124 (1986), 293-311.

Zentralblatt MATH: 0637.58010

Mathematical Reviews (MathSciNet): MR855297

[Kra] I. Kra, On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces, Acta Math. 146 (1981), 231-270.

Zentralblatt MATH: 0477.32024

Mathematical Reviews (MathSciNet): MR611385

[Masur1] H. Masur, Interval exchange transformations and measured foliations, Ann. of Math. (2) 115 (1982), 169-200.

Zentralblatt MATH: 0497.28012

Mathematical Reviews (MathSciNet): MR644018

[Masur2] H. Masur, Ergodic actions of the mapping class group, Proc. Amer. Math. Soc. 94 (1985), 455-459.

Zentralblatt MATH: 0579.32035

Mathematical Reviews (MathSciNet): MR787893

[Masur3] H. Masur, Two boundaries of Teichmüller space, Duke Math. J. 49 (1982), 183-190.

Zentralblatt MATH: 0508.30039

Mathematical Reviews (MathSciNet): MR650376

[Miller] R. T. Miller, Geodesic laminations from Nielsen's viewpoint, Adv. in Math. 45 (1982), 189-212.

Zentralblatt MATH: 0496.57003

Mathematical Reviews (MathSciNet): MR664623

[MorShal1] J. W. Morgan and P. Shalen, Valuations, trees, and degenerations of hyperbolic structures. I, Ann. of Math. (2) 120 (1984), 401-476.

Zentralblatt MATH: 0583.57005

Mathematical Reviews (MathSciNet): MR769158

[MorShal2] J. W. Morgan and P. Shalen, Degenerations of hyperbolic structures. II: measured laminations, trees and 3-manifolds, Ann. of Math. (2) 127 (1988), 403-456.

Zentralblatt MATH: 0656.57003

Mathematical Reviews (MathSciNet): MR932305

[MorShal3] J. W. Morgan and P. Shalen, Degenerations of hyperbolic structures. III, Ann. of Math. (2) 127 (1988).

Zentralblatt MATH: 0661.57004

Mathematical Reviews (MathSciNet): MR932305

[Mosher0] L. Mosher, Pseudo-Anosovs on punctured surfaces, Princeton thesis, 1983.

[Mosherl] L. Mosher, The classification of pseudo-Anosovs, Proceedings of Conference on Hyperbolic Geometry in Durham, Cambridge Univ. Press.

Mathematical Reviews (MathSciNet): MR903858

[Mosher2] L. Mosher, Topological invariants of measured foliations, Preprint, 1988.

[Nielsen1] J. Nielsen, Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen. I, Acta Math. 50 (1927), 189-358.

Jahrbuch database (Zbl): 53.0545.12

Mathematical Reviews (MathSciNet): MR1555256

[Nielsen2] J. Nielsen, Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen. II, Acta Math. 53 (1929), 1-76.

Jahrbuch database (Zbl): 55.0971.01

Mathematical Reviews (MathSciNet): MR1555290

[Nielsen3] J. Nielsen, Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen. III, Acta Math. 58 (1932), 87-167.

Jahrbuch database (Zbl): 58.0613.01

Mathematical Reviews (MathSciNet): MR1555345

[Oertel] U. Oertel, Measured laminations in 3-manifolds, Trans. Amer. Math. Soc. 305 (1988), 531-573.

Zentralblatt MATH: 0652.57006

Mathematical Reviews (MathSciNet): MR924769

[Pap1] A. Papadopoulos, Diffeomorphismes pseudo-Anosov et automorphismes symplectiques de l'homologie, Ann. Sci. École Norm. Sup. 15 (1982), 543-546.

Zentralblatt MATH: 0539.58023

Mathematical Reviews (MathSciNet): MR690652

[Pap2] A. Papadopoulos, L'extension du flot de Fenchel-Nielsen au bord de Thurston de l'espace de Teichmüller, C. R. Acad. Sci. Paris 302 (1986), 325-327.

Zentralblatt MATH: 0598.57016

Mathematical Reviews (MathSciNet): MR838585

[Pap3] A. Papadopoulos, Geometrie intersection functions and hamiltonian flows on the space of measured foliations on a surface, Pacific J. Math. 124 (1986), 375-402.

Zentralblatt MATH: 0608.58036

Mathematical Reviews (MathSciNet): MR856170

[Pap4] A. Papadopoulos, Sur le bord de Thurston de l'espace de Teichmüller d'une surface non compacte, Math. Ann. (1988).

Zentralblatt MATH: 0672.57012

Mathematical Reviews (MathSciNet): MR967017

[Pap5] A. Papadopoulos, On Thurston's boundary of Teichmüller space and the extension of earthquakes, 1988 Preprint.

Zentralblatt MATH: 0761.57009

Mathematical Reviews (MathSciNet): MR967017

[Rees] M. Rees An alternative approach to the ergodic theory of measured foliations on surfaces, Ergodic Theory and Dynamical Systems 1 (1981), 461-488.

Zentralblatt MATH: 0539.58018

Mathematical Reviews (MathSciNet): MR662738

[Bass-Serre] J.-P. Serre (with H. Bass), Trees, Dynamical Systems, Springer-Verlag, New York, 1980.

Mathematical Reviews (MathSciNet): MR607504

[Smale] S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817.

Zentralblatt MATH: 0202.55202

Mathematical Reviews (MathSciNet): MR228014

[Strebel] K. Strebel, Quadratic differentials, Springer-Verlag, Berlin, Heidelberg, New York and Tokyo, 1984.

Zentralblatt MATH: 0547.30001

Mathematical Reviews (MathSciNet): MR743423

[Sullivan] D. P. Sullivan, Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension3 fîbrées sur S³, Bourbaki Seminar (1979-80), 196-214, Lecture Notes in Math., vol. 842, Springer-Verlag, Berlin and New York, 1981.

Zentralblatt MATH: 0459.57006

Mathematical Reviews (MathSciNet): MR636524

[Th0] W. P. Thurston, The geometry and topology of three-manifolds, Princeton Math. Dept., 1979.

[Th1] W. P. Thurston, Minimal stretch maps between hyperbolic surfaces, Topology (to appear).

[Veech1] W. Veech, Gauss measures for transformations on the space of interval exchange maps, Ann. of Math. (2) 115 (1982), 201-242.

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Mathematical Reviews (MathSciNet): MR644019

[Veech2] W. Veech, The Teichmüller geodesic flow, Ann. of Math. (2) 124 (1986), 441-530.

Zentralblatt MATH: 0658.32016

Mathematical Reviews (MathSciNet): MR866707

[Wald] F. Waldhausen, On irreducible manifolds which are sufficiently large, Ann. of Math. (2) 87 (1968), 56-88.

Zentralblatt MATH: 0157.30603

Mathematical Reviews (MathSciNet): MR224099

[Wolp1] S. Wolpert, On the symplectic geometry of deformations of a hyperbolic surface.

Zentralblatt MATH: 0518.30040

[Zieschang] H. Zieschang, Finite groups of mapping classes of surfaces, Springer-Verlag, Berlin and New York, 1980.

Zentralblatt MATH: 0472.57006

Mathematical Reviews (MathSciNet): MR643627

1. J. Nielsen, Surface transformation classes of algebraically finite type, Danske Vid. Selsk. Math.-Phys. Medd. 68 (1944).

Zentralblatt MATH: 0063.05952

Mathematical Reviews (MathSciNet): MR15791

On the geometry and dynamics of diffeomorphisms of surfaces

References

Bulletin (New Series) of the American Mathematical Society