The Hyperbolization Theorem for Fibered 3-manifolds

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indgår i serie SMF/AMS Texts & Monographs


The Hyperbolization Theorem for Fibered 3-manifolds
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Format:
Bog, paperback
Udgivelsesdato:
15-09-2001
Sprog:
Engelsk
Sidetal:
133
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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of the hyperbolization theorem for 3-manifolds that fiber over the circle, following the plan of Thurston's original (unpublished) proof, though the double limit theorem is dealt with in a different way.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 Societe Mathematique de France.

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Udgivelsesdato:
15-09-2001
ISBN13:
9780821821534
Vægt:
260 g
Bredde:
165 mm
Højde:
248 mm
Nummer i serien:
No. 7
Nummer i serien:
No. 7
Format:
Paperback
Forfattere
Bibliotekernes beskrivelse The influence of Thurston's hyperbolization theorem on the geometry and topology of 3-manifolds has been tremendous. This book presents a proof of the hyperbolization theorem for 3-manifolds that fiber over the circle, following the plan of Thurston's original proof, though the double limit theorem is dealt with in a different way. bibliography, index

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