Achiral 1-cusped hyperbolic 3-manifolds not coming from amphicheiral null-homologous knot complements
classification
🧮 math.GT
keywords
achiralamphicheiralhyperbolicknotmanifoldscomplementscuspednull-homologous
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.