@article{72e10d4ae8414a3cab400cf5cc009312,
title = "Achiral 1-Cusped Hyperbolic 3-Manifolds Not Coming from Amphicheiral Null-homologous Knot Complements",
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.",
keywords = "Amphicheiral knot, achiral hyperbolic 3-manifold, banding, chirally cosmetic filling, chirally cosmetic surgery",
author = "K. Ichihara and Jong, {I. D.} and K. Taniyama",
note = "Funding Information: The authors would like to thank K. Motegi and K. Ishihara for useful comments on Section 5. Ichihara is partially supported by Grant-in-Aid for Scientific Research (C) (No. 18K03287), Japan Society for the Promotion of Science. Taniyama is partially supported by Grant-in-Aid for Scientific Research (A) (No. 16H02145), Grant-in-Aid for Scientific Research (B) (No. 15H03620) and Grant-in-Aid for Scientific Research (B) (No. 16H03928), Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",
year = "2018",
month = nov,
day = "1",
doi = "10.1134/S199508021809038X",
language = "English",
volume = "39",
pages = "1353--1361",
journal = "Lobachevskii Journal of Mathematics",
issn = "1995-0802",
publisher = "Kazanskii Gosudarstvennyi Universitet/Kazan State University",
number = "9",
}