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

Kazuhiro Ichihara, In Dae Jong, Kouki 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.

57M25 (Primary), 57M50, 57N10 (Secondary)

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Sep 27

Keywords

  • Achiral hyperbolic 3-manifold
  • Amphicheiral knot
  • Banding
  • Chirally cosmetic filling
  • Chirally cosmetic surgery

ASJC Scopus subject areas

  • General

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