# Achiral 1-Cusped Hyperbolic 3-Manifolds Not Coming from Amphicheiral Null-homologous Knot Complements

@article{Ichihara2017Achiral1H,
title={Achiral 1-Cusped Hyperbolic 3-Manifolds Not Coming from Amphicheiral Null-homologous Knot Complements},
author={Kazuhiro Ichihara and In Dae Jong and Kouki Taniyama},
journal={Lobachevskii Journal of Mathematics},
year={2017},
volume={39},
pages={1353-1361}
}
• Published 2017
• Mathematics
• Lobachevskii Journal of Mathematics
It is experimentally known that achiral hyperbolic 3-manifolds are quite sporadic at least among those with small volume, while we can find plenty of them as amphicheiral knot complements in the 3-sphere. In this paper, we show that there exist infinitely many achiral 1-cusped hyperbolic 3- manifolds not homeomorphic to any amphicheiral null-homologous knot complement in any closed achiral 3-manifold.

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