paper

On surface-knots with triple point number at most three

arXiv:1711.04838

Abstract

In this paper, we show that if a diagram of a surface-knot has at most three triple points, then the cocyle invariant of is an integer. In particular, for a surface-knot of genus one, the triple point number invariant is at least four.

Lemma 9.1 is incorrect and so the main result is wrong