Geometric Theory of Foliations

This book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3-manifolds and more specifically in contact 3-manifolds.

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research–- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more.

by Takeo Ohsawa (Author)
Presents quite recent research works, all of very high standard, in the field of several complex variables
Selects only extremely important materials from the conventional basic theory of complex analysis and manifold theory
Requires no more than a one-semester introductory course in complex analysis as a prerequisite for understanding