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math.GT2025
The lengths of 3-cocycles of the 7-dihedral and the octahedral quandles
Ayumu Inoue
We determine the lengths of certain 3-cocycles of the 7-dihedral and the octahedral quandles. As a consequence, we show that both of the 2-twist-spun -knot and the 4-twist-s…
math.GT2025
A counter example of Yashiro's theorem on pseudo-cycles of a surface knot
Ayumu Inoue
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.