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.