An upper bound for the least dilatation
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- by Max Bauer
- Trans. Amer. Math. Soc. 330 (1992), 361-370
- DOI: https://doi.org/10.1090/S0002-9947-1992-1094556-6
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Abstract:
We given an upper bound for the least dilatation arising from a pseudo-Anosov map of a closed surface of genus greater or equal to three.References
- William Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Mathematics, vol. 820, Springer, Berlin, 1980. MR 590044
- Pierre Arnoux and Jean-Christophe Yoccoz, Construction de difféomorphismes pseudo-Anosov, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 1, 75–78 (French, with English summary). MR 610152
- Max Bauer, Examples of pseudo-Anosov homeomorphisms, Trans. Amer. Math. Soc. 330 (1992), no. 1, 333–359. MR 1094557, DOI 10.1090/S0002-9947-1992-1094557-8
- Andrew J. Casson and Steven A. Bleiler, Automorphisms of surfaces after Nielsen and Thurston, London Mathematical Society Student Texts, vol. 9, Cambridge University Press, Cambridge, 1988. MR 964685, DOI 10.1017/CBO9780511623912
- Travaux de Thurston sur les surfaces, Astérisque, vol. 66, Société Mathématique de France, Paris, 1979 (French). Séminaire Orsay; With an English summary. MR 568308 F. Gantmacher, Theory of matrices (vol. 2), Chelsea, 1960.
- R. C. Penner and J. L. Harer, Combinatorics of train tracks, Annals of Mathematics Studies, vol. 125, Princeton University Press, Princeton, NJ, 1992. MR 1144770, DOI 10.1515/9781400882458
- Athanase Papadopoulos, Difféomorphismes pseudo-Anosov et automorphismes symplectiques de l’homologie, Ann. Sci. École Norm. Sup. (4) 15 (1982), no. 3, 543–546 (French). MR 690652
- Robert C. Penner, A construction of pseudo-Anosov homeomorphisms, Trans. Amer. Math. Soc. 310 (1988), no. 1, 179–197. MR 930079, DOI 10.1090/S0002-9947-1988-0930079-9 —, Bounds on least dilatations (to appear).
- Athanase Papadopoulos and Robert C. Penner, A characterization of pseudo-Anosov foliations, Pacific J. Math. 130 (1987), no. 2, 359–377. MR 914107 W. Thurston, The geometry and topology of three-manifolds, Lecture Notes, Princeton Univ., 1978.
Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 330 (1992), 361-370
- MSC: Primary 57M99; Secondary 57N05, 57R50, 58F15
- DOI: https://doi.org/10.1090/S0002-9947-1992-1094556-6
- MathSciNet review: 1094556