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Advanced Courses in Mathematics - CRM Barcelona

Foliations: Dynamics, Geometry and Topology

Authors: Asaoka, M., El Kacimi Alaoui, A., Hurder, S., Richardson, K.

Editors: Álvarez López, Jesús, Nicolau, Marcel (Eds.)

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  • Provides an introduction to Foliation Theory with a comprehensive overview of some recent developments of the theory
  • Includes results that so far were only available in original research articles
  • The different topics are presented by the best experts with a detailed discussion of many examples, making the text accessible to a wide audience
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eBook 32,12 €
price for Spain (gross)
  • ISBN 978-3-0348-0871-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 39,51 €
price for Spain (gross)
  • ISBN 978-3-0348-0870-5
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

Reviews

“This book contains the lecture notes of four courses on several topics with rather different flavor, which are linked by their relation with Foliation Theory. … the courses will be very helpful for any reader that wants to get quickly introduced to any of these lines of research.” (Jesus A. Álvarez López, zbMATH 1318.57001, 2015)


Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook 32,12 €
price for Spain (gross)
  • ISBN 978-3-0348-0871-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 39,51 €
price for Spain (gross)
  • ISBN 978-3-0348-0870-5
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Foliations: Dynamics, Geometry and Topology
Authors
Editors
  • Jesús Álvarez López
  • Marcel Nicolau
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0871-2
DOI
10.1007/978-3-0348-0871-2
Softcover ISBN
978-3-0348-0870-5
Series ISSN
2297-0304
Edition Number
1
Number of Pages
IX, 198
Number of Illustrations
10 b/w illustrations, 10 illustrations in colour
Topics