A non-Haken hyperbolic 3-manifold covered by a surface bundle
type: Item
instance of: scholarly article
title: A non-Haken hyperbolic 3-manifold covered by a surface bundle
zbMATH Open document ID: 0817.57014
published in: Pacific Journal of Mathematics
publication date: 1995-05-30T00:00:00Z
review text: The question as to whether a finite volume hyperbolic 3-manifold has a finite cover which fibers over the circle, seems at present completely mysterious. In this paper we give the first explicit examples of non- Haken hyperbolic 3-manifolds covered by a manifold that fibers of the circle. The methods used are arithmetic using the theory of quaternion algebras.
Mathematics Subject Classification ID: 57M50
Mathematics Subject Classification ID: 20H10
zbMATH DE Number: 759257
zbMATH Keywords: fiber bundle over the circle
zbMATH Keywords: arithmetic Kleinian group
zbMATH Keywords: hyperbolic 3- manifold
author: Alan W. Reid
MaRDI profile type: Publication
full work available at URL: pjm.1995.167.163
OpenAlex ID: W1997491026
DOI: 10.2140/PJM.1995.167.163
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description: scientific article; zbMATH DE number 759257