Description 
1 online resource (ix, 198 pages) : illustrations (some color) 
Series 
Advanced Courses in Mathematics, CRM Barcelona, 22970304 

Advanced courses in mathematics, CRM Barcelona. 22970304

Contents 
Fundamentals of Foliation Theory  Foliation Dynamics  Deformation of Locally Free Actions and Leafwise Cohomology  Transversal Dirac Operators on Distributions, Foliations, and GManifolds 
Summary 
This book is an introduction to several active research topics in Foliation Theory and its connections with other areas. It contains expository lectures showing the diversity of ideas and methods arising and used in the study of foliations. The lectures by A. El Kacimi Alaoui offer an introduction to Foliation Theory, with emphasis on examples and transverse structures. S. Hurder's lectures apply ideas from smooth dynamical systems to develop useful concepts in the study of foliations, like limit sets and cycles for leaves, leafwise geodesic flow, transverse exponents, stable manifolds, Pesin Theory, and hyperbolic, parabolic, and elliptic types of foliations, all of them illustrated with examples. The lectures by M. Asaoka are devoted to the computation of the leafwise cohomology of orbit foliations given by locally free actions of certain Lie groups, and its application to the description of the deformation of those actions. In the lectures by K. Richardson, he studies the geometric and analytic properties of transverse Dirac operators for Riemannian foliations and compact Lie group actions, and explains a recently proved index formula. Besides students and researchers of Foliation Theory, this book will appeal to mathematicians interested in the applications to foliations of subjects like topology of manifolds, dynamics, cohomology or global analysis 
Bibliography 
Includes bibliographical references 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed October 27, 2014) 
Subject 
Foliations (Mathematics)

Form 
Electronic book

Author 
Asaoka, Masayuki, author


Alvarez López, Jesús A., editor


Nicolau, Marcel, editor

ISBN 
3034808704 (print) 

3034808712 (electronic bk.) 

9783034808705 (print) 

9783034808712 (electronic bk.) 
