Counting Essential Surfaces in a Closed Hyperbolic 3-Manifold
Geometric Topology
2010-12-14 v1
Abstract
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}.
Cite
@article{arxiv.1012.2828,
title = {Counting Essential Surfaces in a Closed Hyperbolic 3-Manifold},
author = {Jeremy Kahn and Vladimir Markovic},
journal= {arXiv preprint arXiv:1012.2828},
year = {2010}
}
Comments
21 pages, preliminary version