Foliations [electronic resource] : dynamics, geometry and topology / Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson ; editors for this volume: Jesús Álvarez López, Marcel Nicolau.
2014
QA613.62
Linked e-resources
Linked Resource
Details
Title
Foliations [electronic resource] : dynamics, geometry and topology / Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson ; editors for this volume: Jesús Álvarez López, Marcel Nicolau.
ISBN
9783034808712 electronic book
3034808712 electronic book
9783034808705
3034808712 electronic book
9783034808705
Published
Basel : Birkhäuser, 2014.
Language
English
Description
1 online resource (ix, 198 pages) : illustrations (some color).
Item Number
10.1007/978-3-0348-0871-2 doi
Call Number
QA613.62
Dewey Decimal Classification
514/.72
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, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed October 27, 2014).
Series
Advanced courses in mathematics, CRM Barcelona.
Linked Resources
Record Appears in
Table of Contents
Fundamentals of Foliation Theory
Foliation Dynamics
Deformation of Locally Free Actions and Leafwise Cohomology
Transversal Dirac Operators on Distributions, Foliations, and G-Manifolds.
Foliation Dynamics
Deformation of Locally Free Actions and Leafwise Cohomology
Transversal Dirac Operators on Distributions, Foliations, and G-Manifolds.