@njj

An estimate of the triple point numbers of surface-knots by quandle cocycle invariants

. Topology and its Applications, 139 (1-3): 129--144 (2004)
DOI: 10.1016/j.topol.2003.09.006

Abstract

The triple point number of a surface-knot is defined to be the minimal number of triple points among all diagrams of the surface-knot. We give a lower bound of the triple point number using quandle cocycle invariants.

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