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Author Penner, R. C., 1956-

Title Combinatorics of train tracks / by R.C. Penner with J.L. Harer.

Published Princeton, N.J. : Princeton University Press, 1992.


Location Call No. Status
Physical description xi, 216 p. : ill. ; 25 cm.
Series Annals of mathematics studies ; no. 125
Bibliography Includes bibliographical references (p. 214-216).
Contents Ch. 1. The Basic Theory. 1.1. Train Tracks. 1.2. Multiple Curves and Dehn's Theorem. 1.3. Recurrence and Transverse Recurrence. 1.4. Genericity and Transverse Recurrence. 1.5. Trainpaths and Transverse Recurrence. 1.6. Laminations. 1.7. Measured Laminations. 1.8. Bounded Surfaces and Tracks with Stops -- Ch. 2. Combinatorial Equivalence. 2.1. Splitting, Shifting, and Carrying. 2.2. Equivalence of Birecurrent Train Tracks. 2.3. Splitting versus Shifting. 2.4. Equivalence versus Carrying. 2.5. Splitting and Efficiency. 2.6. The Standard Models. 2.7. Existence of the Standard Models. 2.8. Uniqueness of the Standard Models -- Ch. 3. The Structure of ML[subscript 0]. 3.1. The Topology of ML[subscript 0] and PL[subscript 0]. 3.2. The Symplectic Structure of ML[subscript 0]. 3.3. Topological Equivalence. 3.4. Duality and Tangential Coordinates -- Addendum The Action of Mapping Classes on ML[subscript 0].
Other author Harer, J. (John), 1952-
Subject Geodesics (Mathematics)
CW complexes.
Combinatorial analysis.
Other title Train tracks.
ISBN 0691025312 (pbk. : alk. paper) :
0691087644 (alk. paper) :