Notes on tameness
Bowditch, B. H.. (2010) Notes on tameness. L' Enseignement Mathematique, Vol.56 . pp. 229-285. ISSN 0013-8584Full text not available from this repository.
It has been shown by Bonahon, Agol, Calegari and Gabai that a complete hyperbolic 3-manifold with finitely generated fundamental group is topologically finite. This was conjectured by Marden, and via a geometric reinterpretation by Thurston, has become known as the ``Tameness Theorem''. In this paper we give an account of this result, inspired by arguments of Soma, which is as far as possible self-contained. We also describe how it can be generalised to pinched negative curvature, and how it implies a version of Ahlfors's finiteness theorem in this context.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Mathematics|
|Journal or Publication Title:||L' Enseignement Mathematique|
|Publisher:||Universite de Geneve, Section de Mathematiques|
|Official Date:||December 2010|
|Page Range:||pp. 229-285|
Actions (login required)