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

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

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)1353-1361
ページ数9
ジャーナルLobachevskii Journal of Mathematics
39
9
DOI
出版ステータスPublished - 2018 11 1

ASJC Scopus subject areas

  • 数学 (全般)

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