Heegaard genus and Property 'tau' for hyperbolic 3-manifolds

Details Heegaard genus and Property 'tau' for hyperbolic 3-manifolds Heegaard genus and Property 'tau' for hyperbolic 3-manifolds

2007-09-02

arxiv.org/abs/0709.0101v1

Mathematics

Geometric Topology

Scientific paper

We show that any finitely generated non-elementary Kleinian group has a
co-final family of finite index normal subgroups with respect to which it has
Property $\tau$. As a consequence, any closed hyperbolic 3-manifold has a
co-final family of finite index normal subgroups for which the infimal Heegaard
gradient is positive.

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