Mixed-platonic 3-manifolds
Geometric Topology
2024-07-16 v2
Abstract
We introduce a class of cusped hyperbolic -manifolds that we call mixed-platonic, composed of regular ideal hyperbolic polyhedra of more than one type, which includes certain previously-known examples. We establish basic facts about mixed-platonic manifolds which allow us to conclude, among other things, that there is no mixed-platonic hyperbolic knot complement with hidden symmetries.
Cite
@article{arxiv.2407.01708,
title = {Mixed-platonic 3-manifolds},
author = {Eric Chesebro and Michelle Chu and Jason DeBlois and Neil R. Hoffman and Priyadip Mondal and Genevieve S. Walsh},
journal= {arXiv preprint arXiv:2407.01708},
year = {2024}
}
Comments
36 pages, 17 figures. Main update to v2: ancillary file is more easily accessible