On surface-knots with triple point number at most three
Algebraic Topology
2018-02-20 v3
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.
Keywords
Cite
@article{arxiv.1711.04838,
title = {On surface-knots with triple point number at most three},
author = {Amal Al Kharusi and Tsukasa Yashiro},
journal= {arXiv preprint arXiv:1711.04838},
year = {2018}
}
Comments
Lemma 9.1 is incorrect and so the main result is wrong