Readership: Graduates and researchers in topology and geometry
Danny Calegari, California Institute of Technology
"This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurstone'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 combonatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects." - Bulletin Bibliographique
"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." - Anthanase Papadopoulos, Zentralblatt Math
Preface 1: Surface bundles 2: The topology of S1 3: Minimal surfaces 4: Taut foliations 5: Finite depth foliations 6: Essential laminations 7: Universal circles 8: Constructing transverse laminations 9: Slitherings and other foliations 10: Peano curves References Index
