Foliations : dynamics, geometry and topology

Author(s)

Bibliographic Information

Foliations : dynamics, geometry and topology

Masayuki Asaoka ... [et al.] ; editors for this volume, Jesús Álvarez López, Marcel Nicolau

(Advanced courses in mathematics CRM Barcelona)

Birkhäuser , Springer, c2014

Available at  / 10 libraries

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Note

Other authors: Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson

Includes bibliographical references

Description and Table of Contents

Description

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 converging in the study of foliations. The lectures by Aziz El Kacimi Alaoui provide an introduction to Foliation Theory with emphasis on examples and transverse structures. Steven Hurder's lectures apply ideas from smooth dynamical systems to develop useful concepts in the study of foliations: limit sets and cycles for leaves, leafwise geodesic flow, transverse exponents, Pesin Theory and hyperbolic, parabolic and elliptic types of foliations. The lectures by Masayuki Asaoka compute the leafwise cohomology of foliations given by actions of Lie groups, and apply it to describe deformation of those actions. In his lectures, Ken Richardson studies the 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 be interesting for mathematicians interested in the applications to foliations of subjects like Topology of Manifolds, Differential Geometry, Dynamics, Cohomology or Global Analysis.

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.​

by "Nielsen BookData"

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Details

  • NCID
    BB17848621
  • ISBN
    • 9783034808705
  • LCCN
    2014952674
  • Country Code
    xx
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    [S.l.],Basel
  • Pages/Volumes
    ix, 198 p.
  • Size
    24 cm
  • Parent Bibliography ID
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