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

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

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...

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Hauptverfasser: Ichihara, Kazuhiro, Jong, In Dae, Taniyama, Kouki
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Jong, In Dae
Taniyama, Kouki
description 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.
doi_str_mv 10.48550/arxiv.1709.09418
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title Achiral 1-cusped hyperbolic 3-manifolds not coming from amphicheiral null-homologous knot complements
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