Combinatorics of Train Tracks. (AM-125)

By Unknown Author.

Combinatorics of Train Tracks. (AM-125)

Description

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 surf...

ISBN(s)

0691025312, 9780691025315

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