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

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

2005-03-08

arxiv.org/abs/math/0503163v2

Geom. Topol. Monogr. 14 (2008) 505-518

Mathematics

Geometric Topology

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

Scientific paper

10.2140/gtm.2008.14.505

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.

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