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Book Review
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Book Information
Author(s):
R. C. Penner with J. L. Harer
Title:
Combinatorics of train tracks
Additional book information:
Annals of Math. Stud., vol. 125, Princeton Univ. Press, Princeton, NJ, 1992, xii+216 pp., US$19.95. ISBN 0-691-02531-2
References:
- [1]
- W. Abikoff, The real analytic theory of Teichm\"uller space, Lecture Notes in Math. \textbf{820} (1980), Springer-Verlag, New York.
- [2]
- A. J. Casson and S. T. Bleiler, Automorphisms of surfaces after Nielsen and Thurston, London Math. Soc. Student Texts, vol. {\bf 9}, Cambridge Univ. Press, Cambridge, 1988.
- [3]
- M. Dehn, Papers on group theory and topology, Springer-Verlag, New York, 1987.
- [4]
- A. Fathi, F. Laudenback, and V. Poenaru, Travaux de Thurston sur les surfaces, Ast\'erisque {\bf 66}--{\bf 67} (1979).
- [5]
- W. Floyd and U. Oertel, Incompressible surfaces via branched surfaces, Topology \textbf{23} (1984), 117--125.
- [6]
- A. Hatcher, Measured lamination spaces for surfaces, from the topological viewpoint, Topology Appl. \textbf{30} (1988), 63--88.
- [7]
- L. Keen, Intrinsic moduli on Riemann surfaces, Ann. of Math {\rm (2)} \textbf{84} (1966), 404--420.
- [8]
- G. Levitt, Foliations and laminations on hyperbolic surfaces, Topology \textbf{22} (1983), 119--135.
- [9]
- L. Mosher, \emph{The classification of pseudo-anosovs}, Cambridge Univ. Press, Cambridge, 1986 pp.~13--75.
- [10]
- S. Nag, The complex analytic theory of Teichm\"uller spaces, Wiley-Interscience, New York, 1988.
- [11]
- R. Penner, \emph{An introduction to train tracks}, Cambridge Univ. Press, Cambridge, 1986 pp.~77--90.
- [12]
- C. L. Siegel, Topics in complex function theory, vol.~1, Wiley-Interscience, New York, 1969.
- [13]
- W. Thurston, The geometry and topology of $3$-manifolds, Princeton Univ. Math. Dept., 1979.
Additional Information:
Reviewer(s):
W.
Abikoff
Review Information:
Journal:
Bull. Amer. Math. Soc.
29
(1993),
130-136.
DOI:
10.1090/S0273-0979-1993-00404-X
PII:
S 0273-0979(1993)00404-X
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