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Combinatorics of train tracks

Author: R C Penner; J Harer
Publisher: Princeton, N.J. : Princeton University Press, 1992.
Series: Annals of mathematics studies, no. 125.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(DLC) 91033559
(OCoLC)24372997
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R C Penner; J Harer
ISBN: 9781400882458 1400882451
OCLC Number: 946161970
Description: 1 online resource.
Contents: Cover; Title; Copyright; Dedication; CONTENTS; Preface; Acknowledgement; Chapter 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; Chapter 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 Models2.7 Existence of the Standard Models; 2.8 Uniqueness of the Standard Models; Chapter 3 The Structure of ML0; 3.1 The Topology of ML0 and PL0; 3.2 The Symplectic Structure of ML0; 3.3 Topological Equivalence; 3.4 Duality and Tangential Coordinates; Epilogue; Addendum The Action of Mapping Classes on ML0; Bibliography
Series Title: Annals of mathematics studies, no. 125.
Other Titles: Train tracks.
Responsibility: by R.C. Penner with J.L. Harer.

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