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


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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.

作者简介

K. Ichihara

Department of Mathematics, College of Humanities and Sciences

编辑信件的主要联系方式.
Email: ichihara.kazuhiro@nihon-u.ac.jp
日本, 3-25-40 Sakurajosui, Setagaya-ku, Tokyo, 156-8550

I. Jong

Department of Mathematics

Email: ichihara.kazuhiro@nihon-u.ac.jp
日本, 3-4-1 Kowakae, Higashiosaka City, Osaka, 577-0818

K. Taniyama

Department of Mathematics, School of Education

Email: ichihara.kazuhiro@nihon-u.ac.jp
日本, Nishi-Waseda 1-6-1, Shinjuku-ku, Tokyo, 169-8050

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