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Transactions of the American Mathematical Society

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Tiling the projective foliation space of a punctured surface

Author: Lee Mosher
Journal: Trans. Amer. Math. Soc. 306 (1988), 1-70
MSC: Primary 57M99; Secondary 57N05, 58F18
MathSciNet review: 927683
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Abstract: There is a natural way to associate, to each ideal triangulation of a punctured surface a cell decomposition of the projective foliation space of the punctured surface.

References [Enhancements On Off] (What's this?)

  • [EB] D. B. A. Epstein and B. H. Bowditch, Triangulations associated with punctured surfaces, Topology (to appear). MR 935529 (89e:57004)
  • [FLP] A Fathi, et al, Travaux de Thurston sur les surfaces, Asterisque 66-67 (1979). MR 568308 (82m:57003)
  • [HZ] J. Harer and D. Zagier, The Euler characteristic of the moduli space of curves, Invent. Math. 85 (1986), 157-185. MR 848681 (87i:32031)
  • [Har] J. Harer, The virtual cohomological dimension of the mapping class group of an oriented surface, Invent. Math. 84 (1986), 157-176. MR 830043 (87c:32030)
  • [Hat] A. Hatcher, On triangulations of surfaces, preprint. MR 1123262 (92f:57020)
  • [M1] L. Mosher, Pseudo-Anosovs on punctured surfaces, Dissertation, Princeton Univ., 1983.
  • [M2] L. Mosher, The classification of pseudo-Anosovs, Low Dimensional Topology and Kleinian Groups, Ed., D. B. A. Epstein, London Math. Soc. Lecture Notes Ser. 112, Cambridge Univ. Press, 1985. MR 903858 (89f:57016)
  • [M3] L. Mosher, Topological invariants of measured foliations, preprint.
  • [P] R. C. Penner, The Teichmüller space of punctured surfaces, preprint.
  • [T] W. Thurston, The geometry and topology of $ 3$-manifolds, Princeton Univ. Lecture Notes, Chapters 8-9, 1978. MR 662424 (83j:57006)

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Article copyright: © Copyright 1988 American Mathematical Society

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