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

Author
Penner, R. C., 1956- [Browse]
Format
Book
Language
English
Published/​Created
Princeton, N.J. : Princeton University Press, 1992.
Description
xi, 216 pages : illustrations ; 25 cm.

Availability

Copies in the Library

Location Call Number Status Location Service Notes
Lewis Library - Stacks QA649 .P38 1992 Browse related items Request
    Lewis Library - Stacks QA649 .P38 1992 Browse related items Request

      Details

      Subject(s)
      Author
      Series
      Annals of mathematics studies ; no. 125. [More in this series]
      Bibliographic references
      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 MCo. 3.1. The Topology of MCo and PCo. 3.2. The Symplectic Structure of MCo. 3.3. Topological Equivalence. 3.4. Duality and Tangential Coordinates
      • Addendum The Action of Mapping Classes on MCo.
      Other title(s)
      Train tracks.
      ISBN
      • 0691087644 ((alk. paper))
      • 9780691087641 ((alk. paper))
      • 0691025312 ((pbk. ; : alk. paper))
      • 9780691025315 ((pbk. ; : alk. paper))
      LCCN
      91033559
      OCLC
      24372997
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