Confoliations (University Lecture Series) by Y. Eliashberg (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review Go out and buy this book … — Bulletin of the London Mathematical Society

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is so bad that you would swear these guyswere writing for the French ( humor)?Take a pretty hard area of mathematics like foliationsand then, not admit that most mathematiciansreally aren’t familiar with it, so you do everythingexcept two or three very bad pictureswith axiomatic definitions and proofs?As dry as burnt toast and not as nutritional,this book does Thurston as co-author a bad turn historically?Basically the mathematics is presentedin a way that is almost impossible to get a fix on…I have a similar book on modules that is alsofrom the French school of axiomaticswithout examples, problems or decent diagrams.Books like this one set their fields of study back years.

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