Email this article Achiral 1-Cusped Hyperbolic 3-Manifolds Not Coming from Amphicheiral Null-homologous Knot Complements
- Authors: Ichihara K.1, Jong I.D.2, Taniyama K.3
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Affiliations:
- Department of Mathematics, College of Humanities and Sciences
- Department of Mathematics
- Department of Mathematics, School of Education
- Issue: Vol 39, No 9 (2018)
- Pages: 1353-1361
- Section: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203312
- DOI: https://doi.org/10.1134/S199508021809038X
- ID: 203312
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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.
About the authors
K. Ichihara
Department of Mathematics, College of Humanities and Sciences
Author for correspondence.
Email: ichihara.kazuhiro@nihon-u.ac.jp
Japan, 3-25-40 Sakurajosui, Setagaya-ku, Tokyo, 156-8550
I. D. Jong
Department of Mathematics
Email: ichihara.kazuhiro@nihon-u.ac.jp
Japan, 3-4-1 Kowakae, Higashiosaka City, Osaka, 577-0818
K. Taniyama
Department of Mathematics, School of Education
Email: ichihara.kazuhiro@nihon-u.ac.jp
Japan, Nishi-Waseda 1-6-1, Shinjuku-ku, Tokyo, 169-8050
