Book Review
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MathSciNet review:
1568043
Full text of review:
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Book Information:
Author:
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.
William Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Mathematics, vol. 820, Springer, Berlin, 1980. MR 590044
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
Max Dehn, Papers on group theory and topology, Springer-Verlag, New York, 1987. Translated from the German and with introductions and an appendix by John Stillwell; With an appendix by Otto Schreier. MR 881797, DOI 10.1007/978-1-4612-4668-8
Travaux de Thurston sur les surfaces, Astérisque, vol. 66, Société Mathématique de France, Paris, 1979 (French). Séminaire Orsay; With an English summary. MR 568308
W. Floyd and U. Oertel, Incompressible surfaces via branched surfaces, Topology 23 (1984), no. 1, 117–125. MR 721458, DOI 10.1016/0040-9383(84)90031-4
A. E. Hatcher, Measured lamination spaces for surfaces, from the topological viewpoint, Topology Appl. 30 (1988), no. 1, 63–88. MR 964063, DOI 10.1016/0166-8641(88)90081-8
Linda Keen, Intrinsic moduli on Riemann surfaces, Ann. of Math. (2) 84 (1966), 404–420. MR 203000, DOI 10.2307/1970454
Gilbert Levitt, Foliations and laminations on hyperbolic surfaces, Topology 22 (1983), no. 2, 119–135. MR 683752, DOI 10.1016/0040-9383(83)90023-X
Lee Mosher, The classification of pseudo-Anosovs, Low-dimensional topology and Kleinian groups (Coventry/Durham, 1984) London Math. Soc. Lecture Note Ser., vol. 112, Cambridge Univ. Press, Cambridge, 1986, pp. 13–75. MR 903858
Subhashis Nag, The complex analytic theory of Teichmüller spaces, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, Inc., New York, 1988. A Wiley-Interscience Publication. MR 927291
Robert C. Penner, An introduction to train tracks, Low-dimensional topology and Kleinian groups (Coventry/Durham, 1984) London Math. Soc. Lecture Note Ser., vol. 112, Cambridge Univ. Press, Cambridge, 1986, pp. 77–90. MR 903859
[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.
- [1]
- W. Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Math. 820 (1980), Springer-Verlag, New York. MR 590044 (82a:32028)
- [2]
- A. J. Casson and S. T. Bleiler, Automorphisms of surfaces after Nielsen and Thurston, London Math. Soc. Student Texts, vol. 9, Cambridge Univ. Press, Cambridge, 1988. MR 964685 (89k:57025)
- [3]
- M. Dehn, Papers on group theory and topology, Springer-Verlag, New York, 1987. MR 881797 (88d:01041)
- [4]
- A. Fathi, F. Laudenback, and V. Poenaru, Travaux de Thurston sur les surfaces, Astérisque 66-67(1979). MR 568308 (82m:57003)
- [5]
- W. Floyd and U. Oertel, Incompressible surfaces via branched surfaces, Topology 23 (1984), 117-125. MR 721458 (85a:57007)
- [6]
- A. Hatcher, Measured lamination spaces for surfaces, from the topological viewpoint, Topology Appl. 30 (1988), 63-88. MR 964063 (89k:57022)
- [7]
- L. Keen, Intrinsic moduli on Riemann surfaces, Ann. of Math (2) 84 (1966), 404-420. MR 0203000 (34:2859)
- [8]
- G. Levitt, Foliations and laminations on hyperbolic surfaces, Topology 22 (1983), 119-135. MR 683752 (84h:57015)
- [9]
- L. Mosher, The classification of pseudo-anosovs, Low Dimension Topology and Kleinian Groups, London Math. Soc. Lecture Notes, vol. 112, Cambridge Univ. Press, Cambridge, 1986, pp. 13-75. MR 903858 (89f:57016)
- [10]
- S. Nag, The complex analytic theory of Teichmüller spaces, Wiley-Interscience, New York, 1988. MR 927291 (89f:32040)
- [11]
- R. Penner, An introduction to train tracks, Low Dimensional Topology and Kleinian Groups, London Math. Soc. Lecture Notes, vol. 112, Cambridge Univ. Press, Cambridge, 1986, pp. 77-90. MR 903859 (89e:57005)
- [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.
Review Information:
Reviewer:
W. Abikoff
Journal:
Bull. Amer. Math. Soc.
29 (1993), 130-136
DOI:
https://doi.org/10.1090/S0273-0979-1993-00404-X