Foliations and the Geometry of 3-manifolds
Foliations and the Geometry of 3-manifolds
ISBN: 9780198570080
出版社: Oxford Univ Pr
出版年: 2007-7-12
页数: 384
定价: $ 169.50
装帧: HRD
内容简介
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.