On surface-knots with triple point number at most three

Published 13 Nov 2017 in math.AT | (1711.04838v3)

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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