Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs) by Danny Calegari (PDF)

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Ebook Info

  • Published: 2007
  • Number of pages: 352 pages
  • Format: PDF
  • File Size: 2.92 MB
  • Authors: Danny Calegari

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 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.

User’s Reviews

Editorial Reviews: Review “In fact the book is written in such a way that probably every reader with some interest in geometry will be able to find something interesting for him/her.”–Mathematical Reviews About the Author Danny Calegari is with the California Institute of Technology.

Keywords

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Download Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs) PDF
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