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arxiv: 1709.09418 · v1 · pith:BHIWEMYVnew · submitted 2017-09-27 · 🧮 math.GT

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

classification 🧮 math.GT
keywords achiralamphicheiralhyperbolicknotmanifoldscomplementscuspednull-homologous
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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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