Counting Essential Surfaces in a Closed Hyperbolic 3-Manifold

Details Counting Essential Surfaces in a Closed Hyperbolic 3-Manifold Counting Essential Surfaces in a Closed Hyperbolic 3-Manifold

2010-12-13

arxiv.org/abs/1012.2828v1

Mathematics

Geometric Topology

21 pages, preliminary version

Scientific paper

Let M be a closed hyperbolic 3-manifold. We show that the number of genus g
surface subgroups of the fundamental group of M grows like g^{2g}.

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