Foliations and the Geometry of 3-Manifolds
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A01=Danny Calegari
Author_Danny Calegari
Category=PBM
Category=PBP
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Product details
- ISBN 9780198570080
- Weight: 700g
- Dimensions: 160 x 240mm
- Publication Date: 17 May 2007
- Publisher: Oxford University Press
- Publication City/Country: GB
- Product Form: Hardback
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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.
