Four-free groups and hyperbolic geometry

Details Four-free groups and hyperbolic geometry Four-free groups and hyperbolic geometry

2008-06-06

arxiv.org/abs/0806.1188v3

Mathematics

Geometric Topology

64 pages, 4 figures. This version has been accepted for publication by the Journal of Topology

Scientific paper

We give new information about the geometry of closed, orientable hyperbolic
3-manifolds with 4-free fundamental group. As an application we show that such
a manifold has volume greater than 3.44. This is in turn used to show that if M
is a closed orientable hyperbolic 3-manifold such that vol M < 3.44, then
H_1(M;Z/2Z) has dimension at most 7.

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