Foliations and the Geometry of 3-Manifolds
Book Details
Format
Hardback or Cased Book
Book Series
Oxford Mathematical Monographs
ISBN-10
0198570082
ISBN-13
9780198570080
Publisher
Oxford University Press
Imprint
Oxford University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
May 17th, 2007
Print length
378 Pages
Weight
700 grams
Dimensions
24.40 x 16.30 x 2.70 cms
Ksh 26,800.00
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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.
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.
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