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A non-Haken hyperbolic 3-manifold covered by a surface bundle

A non-Haken hyperbolic 3-manifold covered by a surface bundle

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 …