Achiral 1-Cusped Hyperbolic 3-Manifolds Not Coming from Amphicheiral Null-homologous Knot Complements

K. Ichihara, I. D. Jong, K. Taniyama

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)1353-1361
Number of pages9
JournalLobachevskii Journal of Mathematics
Volume39
Issue number9
DOIs
Publication statusPublished - 2018 Nov 1

Keywords

  • Amphicheiral knot
  • achiral hyperbolic 3-manifold
  • banding
  • chirally cosmetic filling
  • chirally cosmetic surgery

ASJC Scopus subject areas

  • Mathematics(all)

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