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 arithmetic, and has twice the minimal volume.
Stefano Riolo (2024). A small cusped hyperbolic 4-manifold. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 56(1), 176-187 [10.1112/blms.12922].
A small cusped hyperbolic 4-manifold
Stefano Riolo
2024
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 arithmetic, and has twice the minimal volume.File in questo prodotto:
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