A small cusped hyperbolic 4-manifold
Geometric Topology
2024-01-30 v3
Abstract
By gluing some copies of a polytope of Kerckhoff and Storm's, we build the smallest known orientable hyperbolic 4-manifold that is not commensurable with the ideal 24-cell or the ideal rectified simplex. It is cusped and arithemtic, and has twice the minimal volume.
Cite
@article{arxiv.2305.04285,
title = {A small cusped hyperbolic 4-manifold},
author = {Stefano Riolo},
journal= {arXiv preprint arXiv:2305.04285},
year = {2024}
}
Comments
9 pages, 5 figures. Final version, to appear in the Bulletin LMS