Counting immersed surfaces in hyperbolic 3-manifolds
Geometric Topology
2014-10-01 v4 Group Theory
Abstract
We count the number of conjugacy classes of maximal, genus g, surface subroups in hyperbolic 3-manifold groups. For any closed hyperbolic 3-manifold, we show that there is an upper bound on this number which grows factorially with g. We also give a class of closed hyperbolic 3-manifolds for which there is a lower bound of the same type.
Cite
@article{arxiv.math/0205250,
title = {Counting immersed surfaces in hyperbolic 3-manifolds},
author = {Joseph D. Masters},
journal= {arXiv preprint arXiv:math/0205250},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-35.abs.html