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

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

    研究成果: Article

    抜粋

    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.

    元の言語English
    ページ(範囲)1353-1361
    ページ数9
    ジャーナルLobachevskii Journal of Mathematics
    39
    発行部数9
    DOI
    出版物ステータスPublished - 2018 11 1

    ASJC Scopus subject areas

    • Mathematics(all)

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