This book covers recent topics in various aspects of foliation theory and its relation with other areas including dynamical systems, C∗-algebras, index theory and low-dimensional topology. It contains survey articles by G Hector, S Hurder and P Molino, as well as more than 20 original papers by specialists who are currently most active in the field.
Groupoides, feuilletages et C*-algebras, G. Hector; coarse geometry of foliations, S. Hurder; orbit-like foliations, P. Molino; isotopy of depth one foliations, J. Cantwell and L. Conlon; foliation reduction and self-duality, F.W. Kmaber et al; remarques sur la difference des degres de deux applications, D. Lehmann; closed differential one-forms and R-trees, G. Levitt and G. Meigniez; hyperbolic compact leaves are not C1-stable, T. Tsuboi; negative Euler characteristic as an obstruction to the existence of periodic flows on open 3-manifolds, E. Vogt; some invariants measuring dynamics of codimesion-one foliations, R. Langevin and P. Walczak.