Combinatorics of train tracks. Annals of mathematics studies; 125.
Language: English
Published by Princeton, Princeton University Press, 1992
- Softcover
- Used
Seller: Antiquariat Bookfarm, Löbnitz, GermanyAntiquariat Bookfarm
AbeBooks seller since October 28, 2009
Condition: Used - Very good
£ 52.86
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216 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. M16256 9780691025315 Sprache: Englisch Gewicht in Gramm: 400.
Seller Inventory # 2546799
- Title
- Combinatorics of train tracks. Annals of mathematics studies; 125.
- Author
- Penner, Robert C.:
- Publisher
- Princeton, Princeton University Press
- Publication year
- 1992
- Condition
- Gut
- Binding
- Softcover
- Language
- English
- ISBN 10
- 0691025312
- ISBN 13
- 9780691025315
- Item weight
- 400 grams
- Series
- Book 128 of 202: Annals of Mathematics Studies
- Seller catalogs
- AA Varia
Measured geodesic laminations are a natural generalization of simple closed curves in surfaces, and they play a decisive role in various developments in two-and three-dimensional topology, geometry, and dynamical systems. This book presents a self-contained and comprehensive treatment of the rich combinatorial structure of the space of measured geodesic laminations in a fixed surface. Families of measured geodesic laminations are described by specifying a train track in the surface, and the space of measured geodesic laminations is analyzed by studying properties of train tracks in the surface. The material is developed from first principles, the techniques employed are essentially combinatorial, and only a minimal background is required on the part of the reader. Specifically, familiarity with elementary differential topology and hyperbolic geometry is assumed. The first chapter treats the basic theory of train tracks as discovered by W. P. Thurston, including recurrence, transverse recurrence, and the explicit construction of a measured geodesic lamination from a measured train track. The subsequent chapters develop certain material from R. C. Penner's thesis, including a natural equivalence relation on measured train tracks and standard models for the equivalence classes (which are used to analyze the topology and geometry of the space of measured geodesic laminations), a duality between transverse and tangential structures on a train track, and the explicit computation of the action of the mapping class group on the space of measured geodesic laminations in the surface.
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Antiquariat Bookfarm
Löbnitz, Germany
AbeBooks seller since October 28, 2009
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