Foliations: Dynamics, Geometry and Topology (Advanced Courses

Foliations: Dynamics, Geometry and Topology (Advanced Courses in Mathematics - CRM Barcelona)

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 MasayukiÂ 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, KenÂ 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.
Country USA
Brand Birkhauser
Manufacturer Birkhäuser
Binding Paperback
ItemPartNumber 10 black & white illustrations, 10 colou
ReleaseDate 2014-12-22
UnitCount 1
EANs 9783034808705

Country	USA
Brand	Birkhauser
Manufacturer	Birkhäuser
Binding	Paperback
ItemPartNumber	10 black & white illustrations, 10 colou
ReleaseDate	2014-12-22
UnitCount	1
EANs	9783034808705

Foliations: Dynamics, Geometry and Topology (Advanced Courses in Mathematics - CRM Barcelona)

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