A counter example of Yashiro's theorem on pseudo-cycles of a surface knot
Geometric Topology
2025-09-04 v2
Abstract
We point out that the claim in Theorem 1.1 of Yashiro's paper ``Pseudo-cycles of surface-knots'' is not true, giving a counter example.
Cite
@article{arxiv.2505.03854,
title = {A counter example of Yashiro's theorem on pseudo-cycles of a surface knot},
author = {Ayumu Inoue},
journal= {arXiv preprint arXiv:2505.03854},
year = {2025}
}
Comments
The contents of this paper was integrated into the paper "The lengths of 3-cocycles of the 7-dihedral and the octahedral quandles" (arXiv:2508.14612) as Appendix A