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Mathematics Confoliations (University Lecture Series)
Posted on 2010-04-13
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Author: Y. Eliashberg, William P. Thurston
Publisher: American Mathematical Society (1997) Binding: Paperback, 66 pages pricer: $19.00 ISBN-10: 0821807765 editorialreviews This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional "brother" of symplectic geometry. However, both theories have developed a number of striking similarities. Confoliations--which interpolate between contact structures and codimension-one foliations--should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.
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