Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves. This book is devoted to geometry and topology of surface foliations and their links to ergodic theory, dynamical systems, complex analysis, differential and noncommutative geometry. This comprehensive book addresses graduate students and researchers and will serve as a reference book for experts in the field.
A comprehensive, encyclopedic approach to the subject The book is devoted to geometry and topology of surface foliations There are many links to ergodic theory, dynamical systems, complex analysis, differential and noncommutative geometry The book is addressed to graduate students and researchers in the field Includes supplementary material: sn.pub/extras
Igor Nikolaev
Foliations Geodesics Noncommutative Geometry Partition Riemann Surfaces Teichmüller Space curvature diffeomorphism manifold combinatorics