Foliations and the Geometry of 3-Manifolds
Danny Calegari
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.
Kategori:
Tahun:
2007
Penerbit:
Oxford University Press, USA
Bahasa:
english
Halaman:
378
ISBN 10:
0198570082
ISBN 13:
9780198570080
Nama seri:
Oxford Mathematical Monographs
File:
PDF, 10.35 MB
IPFS:
,
english, 2007
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