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The Hyperbolization Theorem for Fibered 3-manifolds

Home > Mathematics Books > Hyperbolics > Item 40

	The Hyperbolization Theorem for Fibered 3-manifolds
	by Jean-Pierre Otal and Leslie D. Kay Sales Rank: 3530132	List Price: ~~$41.00~~ $41.00 At Amazon on 12-6-2008

Paperback: 133 pages Publisher: American Mathematical Society October 1, 2001 Language: English ISBN-10: 0821821539 ISBN-13: 978-0821821534 Product Dimensions: 9.8 x 6.9 x 0.5 inches Shipping Weight: 9.1 ounces *Product Review* From a review of the French Edition: The book is very well written completely self-contained -- Mathematical Reviews *Product Description* A fundamental element of the study of 3-manifolds is Thurston's remarkable geometrization conjecture, which states that the interior of every compact 3-manifold has a canonical decomposition into pieces that have geometric structures. In most cases, these structures are complete metrics of constant negative curvature, that is to say, they are hyperbolic manifolds. The conjecture has been proved in some important cases, such as Haken manifolds and certain types of fibered manifolds. The influence of Thurston's hyperbolization theorem on the geometry and topology of 3-manifolds has been tremendous. This book presents a complete proof of the hyperbolization theorem for 3-manifolds that fiber over the circle, following the plan of Thurston's original (unpublished) proof, though the double limit theorem is dealt with in a different way. The book is suitable for graduate students with a background in modern techniques of low-dimensional topology and will also be of interest to researchers in geometry and topology. This is the English translation of a volume originally published in 1996 by the Société Mathématique de France.
The Hyperbolization Theorem for Fibered 3-manifolds Available from Amazon Price: $41.00 Updated on 12-6-2008

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