Achiral 1-cusped hyperbolic 3-manifolds not coming from amphicheiral null-homologous knot complements

Kazuhiro Ichihara; In Dae Jong; Kouki Taniyama

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arXiv · 1709.09418

Achiral 1-cusped hyperbolic 3-manifolds not coming from amphicheiral null-homologous knot complements

Kazuhiro Ichihara·In Dae Jong·Kouki Taniyama

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Abstract

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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Kazuhiro Ichihara, In Dae Jong, Kouki Taniyama. 2017-09-27. Achiral 1-cusped hyperbolic 3-manifolds not coming from amphicheiral null-homologous knot complements. https://arxiv.org/abs/1709.09418

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