Combinatorics of Train Tracks. (AM-125)
R. C. Penner and John L. Harer

Book Description | Reviews

TABLE OF CONTENTS:

	Preface
	Acknowledgements
Ch. 1	The Basic Theory	3
1.1	Train Tracks	4
1.2	Multiple Curves and Dehn's Theorem	10
1.3	Recurrence and Transverse Recurrence	18
1.4	Genericity and Transverse Recurrence	39
1.5	Trainpaths and Transverse Recurrence	60
1.6	Laminations	68
1.7	Measured Laminations	82
1.8	Bounded Surfaces and Tracks with Stops	102
Ch. 2	Combinatorial Equivalence	115
2.1	Splitting, Shifting, and Carrying	116
2.2	Equivalence of Birecurrent Train Tracks	124
2.3	Splitting versus Shifting	127
2.4	Equivalence versus Carrying	133
2.5	Splitting and Efficiency	139
2.6	The Standard Models	145
2.7	Existence of the Standard Models	154
2.8	Uniqueness of the Standard Models	160
Ch. 3	The Structure of ML[subscript 0]	173
3.1	The Topology of ML[subscript 0] and PL[subscript 0]	174
3.2	The Symplectic Structure of ML[subscript 0]	182
3.3	Topological Equivalence	188
3.4	Duality and Tangential Coordinates	191
	Epilogue	204
	Addendum The Action of Mapping Classes on ML[subscript 0]	210
	Bibliography	214

Return to Book Description

File created: 4/23/2008

Questions and comments to: webmaster@press.princeton.edu
Princeton University Press