Foliations and the Geometry of 3-Manifolds PDF
by Danny Calegari
Part of the Oxford Mathematical Monographs series
Description
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, especiallyin 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.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Clarendon Press
- Publication Date:17/05/2007
- Category:
- ISBN:9780191524639
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Clarendon Press
- Publication Date:17/05/2007
- Category:
- ISBN:9780191524639