A01=William P. Thurston
A01=Yakov Eliashberg
Author_William P. Thurston
Author_Yakov Eliashberg
Category=PBM
Category=PBP
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eq_isMigrated=2
eq_nobargain
Product details
- ISBN 9780821807767
- Weight: 170g
- Publication Date: 30 Nov 1997
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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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.It's features include: a unified approach to the topology of codimension-one foliations and contact geometry; insight on the geometric nature of integrability; and, new results, in particular on the perturbation of confoliations into contact structures.
