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.
57M25 (Primary), 57M50, 57N10 (Secondary)
|Publication status||Published - 2017 Sep 27|
- Achiral hyperbolic 3-manifold
- Amphicheiral knot
- Chirally cosmetic filling
- Chirally cosmetic surgery
ASJC Scopus subject areas