Foliations and the Geometry of 3-Manifolds by Danny CalegariFoliations and the Geometry of 3-Manifolds by Danny Calegari

Foliations and the Geometry of 3-Manifolds

byDanny Calegari

Hardcover | May 17, 2007

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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 astrain-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
Danny Calegari is with the California Institute of Technology.
Title:Foliations and the Geometry of 3-ManifoldsFormat:HardcoverDimensions:378 pages, 9.21 × 6.14 × 0.94 inPublished:May 17, 2007Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198570082

ISBN - 13:9780198570080


Table of Contents

Preface1. Surface bundles2. The topology of S13. Minimal surfaces4. Taut foliations5. Finite depth foliations6. Essential laminations7. Universal circles8. Constructing transverse laminations9. Slitherings and other foliations10. Peano curvesReferencesIndex