Calegari Danny (EN) — Foliations and the Geometry of 3-Manifolds

Foliations and the Geometry of 3-Manifolds краткое содержание

Foliations and the Geometry of 3-Manifolds - описание и краткое содержание, автор Calegari Danny (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

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.