Foliations is one of the major concepts of modern geometry and topology meaninga partition of topological space into a disjoint sum of leaves. This book isdevot... » 

Foliations is one of the major concepts of modern geometry and topology meaninga partition of topological space into a disjoint sum of leaves. This book isdevoted to geometry and topology of surface foliations and their links toergodic theory dynamical systems complex analysis differential andnoncommutative geometry. This comprehensive book addresses graduate studentsand researchers and will serve as a reference book for experts in the field.TOCFoliations on 2Manifolds. General Theory. Local Theory. MorseSmaleFoliations. Foliations Without Holonomy. Invariants of Foliations. Curves onSurfaces. Noncompact Surfaces. Applications. Ergodic Theory. Homeomorphismsof the Unit Circle. Diffeomorphisms of Surfaces. CAlgebras. QuadraticDifferentials. Flat Structures. Principal Curvature Lines. DifferentialEquations. Positive Differential 2forms. Control Theory by B. Piccoli.Appendix. Riemann Surfaces. «