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arXiv · 1711.04838

On surface-knots with triple point number at most three

Amal Al Kharusi·Tsukasa Yashiro
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Abstract

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.

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Amal Al Kharusi, Tsukasa Yashiro. 2017-11-13. On surface-knots with triple point number at most three. https://arxiv.org/abs/1711.04838

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