Foliations and the Geometry of 3-Manifolds

Released on by Danny Calegari
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  • Foliations and the Geometry of 3-Manifolds Book Detail

  • Author : Danny Calegari
  • Release Date : 2007-05-17
  • Publisher : Oxford University Press on Demand
  • Genre : Mathematics
  • Pages : 378
  • ISBN 13 : 0198570082
  • File Size : 55,55 MB
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Foliations and the Geometry of 3-Manifolds by Danny Calegari PDF Summary

Book Description: 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.

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