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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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.1709.09418 |