On distinct finite covers of 3-manifolds
Geometric Topology
2021-10-25 v3
Abstract
Every closed orientable surface S has the following property: any two connected covers of S of the same degree are homeomorphic (as spaces). In this, paper we give a complete classification of compact 3-manifolds with empty or toroidal boundary which have the above property. We also discuss related group-theoretic questions.
Keywords
Cite
@article{arxiv.1807.09861,
title = {On distinct finite covers of 3-manifolds},
author = {Stefan Friedl and JungHwan Park and Bram Petri and Jean Raimbault and Arunima Ray},
journal= {arXiv preprint arXiv:1807.09861},
year = {2021}
}
Comments
29 pages. V3: Implements suggestions from a referee report. This version has been accepted for publication by IUMJ