A small cusped hyperbolic 4-manifold
arXiv:2305.04285 · doi:10.1112/blms.12922
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.
9 pages, 5 figures. Final version, to appear in the Bulletin LMS