Foliations and the Geometry of 3-manifolds
(Sprache: Englisch)
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.
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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.
Klappentext zu „Foliations and the Geometry of 3-manifolds “
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.
Inhaltsverzeichnis zu „Foliations and the Geometry of 3-manifolds “
- 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
Bibliographische Angaben
- Autor: Danny Calegari
- 2007, 378 Seiten, Maße: 24 cm, Gebunden, Englisch
- Verlag: Oxford University Press
- ISBN-10: 0198570082
- ISBN-13: 9780198570080
Sprache:
Englisch
Pressezitat
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurstone'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 combonatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects. Bulletin Bibliographique
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