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Title Foliations : dynamics, geometry and topology / Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson ; editors for this volume: Jesús Álvarez López, Marcel Nicolau
Published Basel : Birkhäuser, 2014
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Description 1 online resource (ix, 198 pages) : illustrations (some color)
Series Advanced Courses in Mathematics, CRM Barcelona, 2297-0304
Advanced courses in mathematics, CRM Barcelona. 2297-0304
Contents Fundamentals of Foliation Theory -- Foliation Dynamics -- Deformation of Locally Free Actions and Leafwise Cohomology -- Transversal Dirac Operators on Distributions, Foliations, and G-Manifolds
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.)