Foliations and the Geometry of 3-Manifolds

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Foliations and the Geometry of 3-Manifolds

Name: Foliations and the Geometry of 3-Manifolds
ISBN: 9780198570080

Danny Calegari

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This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in 1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.

种类:

Mathematics

年:

2007

出版社:

Oxford University Press, USA

语言:

english

页:

378

ISBN 10:

0198570082