Applications of Teichmüller Theory to 3-Manifolds

Applications of Teichmüller Theory to 3-Manifolds
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Artikel-Nr:
9783764387921
Seiten:
200
Autor:
Ursula Hamenstädt
Serie:
39, Oberwolfach Seminars
Sprache:
Englisch
Beschreibung:

This book contains a modern treatment of the Weil-Petersson geometry of Teichmüller space and an exposition of some recent results on the volume of convex cores of hyperbolic 3-manifolds. It also contains a complete proof of the ending lamination conjecture for hyperbolic 3-manifolds which are diffeomorphic to the product of a surface with the real line and whose injectivity radius is bounded from below.
This book contains a modern treatment of the Weil-Petersson geometry of Teichmüller space and an exposition of some recent results on the volume of convex cores of hyperbolic 3-manifolds. The majority of the material appears in a book for the first time.
Preface.- I. The ending lamination conjecture with injectivity radius bounds.- II. The Weil-Petersen geometry of Teichmüller space.- III. Volumes of convex cores of hyperbolic 3-manifolds.

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