CONFOLIATIONS by Yakov Eliashberg, William P. Thurston ( 9780821807767 )

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Title:

CONFOLIATIONS

By:

Yakov Eliashberg, William P. Thurston

Format:

Paperback

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£61.00

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£59.17

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£1.83

ISBN 10:

0821807765

ISBN 13:

9780821807767

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Publisher:

AMERICAN MATHEMATICAL SOCIETY

Pub. date:

15 November, 1997

Series:

University Lecture Series No. 13

Pages:

Description:

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. This work offers an insight on the geometric nature of integrability.

Synopsis:

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.

Illustrations:

Illustrations

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Imprint:

American Mathematical Society

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Returnable

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