A counter example of Yashiro's theorem on pseudo-cycles of a surface knot

TL;DR

This paper challenges a previous theorem on pseudo-cycles of surface-knots by providing a counterexample that disproves the claim, highlighting a flaw in the original proof.

Contribution

It presents the first known counterexample to Yashiro's theorem, clarifying the limitations of the original statement on pseudo-cycles of surface-knots.

Findings

Counterexample disproves Yashiro's theorem

Highlights the need for revised understanding of pseudo-cycles

Questions the generality of the original claim

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.