A finiteness theorem for hyperbolic 3-manifolds
Geometric Topology
2014-02-26 v3
Abstract
We prove that there are only finitely many closed hyperbolic 3-manifolds with injectivity radius and first eigenvalue of the Laplacian bounded below whose fundamental groups can be generated by a given number of elements. An application to arithmetic manifolds is also given.
Cite
@article{arxiv.0901.0300,
title = {A finiteness theorem for hyperbolic 3-manifolds},
author = {Ian Biringer Juan Souto},
journal= {arXiv preprint arXiv:0901.0300},
year = {2014}
}
Comments
20 pages, to appear in Journal of the London Mathematical Society