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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

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 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.


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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