18,731 research outputs found
The rank of the fundamental group of certain hyperbolic 3-manifolds fibering over the circle
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.Comment: This is the version published by Geometry & Topology Monographs on 29
April 200
Hyperbolic cone-manifolds with large cone-angles
We prove that every closed oriented 3-manifold admits a hyperbolic
cone-manifold structure with cone-angle arbitrarily close to 2pi.Comment: Published by Geometry and Topology at
http://www.maths.warwick.ac.uk/gt/GTVol7/paper24.abs.htm
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