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David MitchellDavid Mitchell's newest mind-bending, time-skipping novel may be his most accomplished work yet. Written in six sections, one per decade, The Bone... Continue »
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Foliations and the Geometry of 3-Manifolds

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Foliations and the Geometry of 3-Manifolds Cover

 

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Publisher Comments:

This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in 1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.

Table of Contents

Preface

1. Surface bundles

2. The topology of S1

3. Minimal surfaces

4. Taut foliations

5. Finite depth foliations

6. Essential laminations

7. Universal circles

8. Constructing transverse laminations

9. Slitherings and other foliations

10. Peano curves

References

Index

Product Details

ISBN:
9780198570080
Author:
Calegari, Danny
Publisher:
Oxford University Press, USA
Author:
null, Danny
Subject:
Mathematics
Subject:
Geometry - General
Subject:
General Mathematics
Subject:
Three-manifolds (Topology)
Subject:
Foliations (Mathematics)
Subject:
Mathematics-Geometry and Trigonometry
Series:
Oxford Mathematical Monographs
Publication Date:
20070731
Binding:
HARDCOVER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
b/w illus.
Pages:
352
Dimensions:
6 x 9.3 x 1 in 1.544 lb

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Health and Self-Help » Health and Medicine » History of Medicine
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