A small cusped hyperbolic 4-manifold

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.

arXiv comment9 pages, 5 figures. Final version, to appear in the Bulletin LMS

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