The rank of the fundamental group of certain hyperbolic 3-manifolds fibering over the circle

Abstract

We determine the rank of the fundamental group of those hyperbolic 3-manifolds fibering over the circle whose monodromy is a sufficiently high power of a pseudo-Anosov map. Moreover, we show that any two generating sets with minimal cardinality are Nielsen equivalent.

This is the version published by Geometry & Topology Monographs on 29 April 2008