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 Title Foliations and the Geometry of 3Manifolds
 Author(s) Danny Calegari
 Publisher: Clarendon Press; Illustrated edition (July 12, 2007)
 Permission: "This book was published in May 2007 by Oxford University Press in their Mathematical Monograph series. The .pdf is available for download here with their permission, although I encourage you to buy a physical copy if you find this version useful."
 Hardcover: 352 pages
 eBook: PDF (371 pages)
 Language: English
 ISBN10: 0198570082
 ISBN13: 9780198570080
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Book Description
This unique reference, aimed at research topologists, gives an exposition of the 'pseudoAnosov' theory of foliations of 3manifolds. 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 1dimensional and codimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as traintracks, branched surfaces and hierarchies to carry more complicated continuous objects.
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.
About the Authors Danny Calegari is a mathematician who is currently a professor of mathematics at the University of Chicago. His research interests include geometry, dynamical systems, lowdimensional topology, and geometric group theory.
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