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Foliations and the Geometry of 3 Manifolds Book PDF Summary

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 in1-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.

Detail Book of Foliations and the Geometry of 3 Manifolds PDF

Foliations and the Geometry of 3 Manifolds
  • Author : Danny Calegari
  • Release : 17 May 2007
  • Publisher : Oxford University Press on Demand
  • ISBN : 9780198570080
  • Genre : Mathematics
  • Total Page : 378 pages
  • Language : English
  • PDF File Size : 18,6 Mb

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