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Combinatorics of train tracks /

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Penner, R. C., 1956-
Other Authors: Harer, J. (John), 1952-
Format: Electronic eBook
Language:Inglés
Published: Princeton, N.J. : Princeton University Press, 1992.
Series:Annals of mathematics studies ; no. 125.
Subjects:
Online Access:Texto completo
Table of 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.