Foliations and the geometry of 3-manifolds
著者
書誌事項
Foliations and the geometry of 3-manifolds
（Oxford mathematical monographs）（Oxford science publications）
Oxford University Press, 2007
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注記
Includes bibliographical references (p. 343-356) and index
内容説明・目次
内容説明
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.
目次
- 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
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