Foliations and the Geometry of 3-Manifolds

Zusatztext The book is extremely well written and it is very pleasant to read. The definitions and the statements of the results are presented clearly, with a lot of illustrations and judicious examples ... This book is unique on most of the topics that it contains, and, for this and for other reasons, it constitutes a very important contribution to low-dimensional topology literature. Klappentext 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. Zusammenfassung 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.

Product details

• Authors: Danny Calegari, Danny (California Institute of Technology) Calegari, Calegari Danny
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 17.05.2007
• EAN: 9780198570080
• ISBN: 978-0-19-857008-0
• No. of pages: 378
• Dimensions: 160 mm x 240 mm x 25 mm
• Series: Oxford Mathematical Monographs; Oxford Mathematical Monographs
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Geometry / General, MATHEMATICS / Topology, geometry, Topology