Counting cusped hyperbolic 3-manifolds that bound geometrically
Geometric Topology
2021-01-05 v5 Differential Geometry
Group Theory
Metric Geometry
Abstract
We show that the number of isometry classes of cusped hyperbolic -manifolds that bound geometrically grows at least super-exponentially with their volume, both in the arithmetic and non-arithmetic settings.
Cite
@article{arxiv.1808.05681,
title = {Counting cusped hyperbolic 3-manifolds that bound geometrically},
author = {Alexander Kolpakov and Stefano Riolo},
journal= {arXiv preprint arXiv:1808.05681},
year = {2021}
}
Comments
17 pages, 7 figures; to appear in Transactions AMS