Finite covers and strict boundary slopes of cusped hyperbolic 3-manifolds
Geometric Topology
2025-06-17 v1 Group Theory
Abstract
We prove that if two cusped hyperbolic -manifolds admit a regular isomorphism between the profinite completions of their fundamental groups, then they share the same -polynomial and their strongly detected boundary slopes match up.
Cite
@article{arxiv.2506.12289,
title = {Finite covers and strict boundary slopes of cusped hyperbolic 3-manifolds},
author = {Tamunonye Cheetham-West and Youheng Yao},
journal= {arXiv preprint arXiv:2506.12289},
year = {2025}
}
Comments
13 pages, comments are welcome!