The triple point number of surface-knots of genus one is at least four
In this paper, we show that there is no surface-knot of genus one with triple point number invariant equal to three.
math.AT↗
arXiv subjects
Tsukasa Yashiro
Publications and source records attributed to Tsukasa Yashiro.
On surface-knots with triple point number at most three
In this paper, we show that if a diagram of a surface-knot $F$ has at most three triple points, then the cocyle invariant of $F$ is an integer. In particular, for a surface-knot of genus one, the triple point number invariant is at least four.
math.AT↗