Branched covering surface-knots with degree three have the simplifying numbers less than three
arXiv:1809.05227 · doi:10.1016/j.topol.2019.01.011
Abstract
A branched covering surface-knot is a surface-knot in the form of a branched covering over a surface-knot. For a branched covering surface-knot, we have a numerical invariant called the simplifying number. We show that branched covering surface-knots with degree three have the simplifying numbers less than three.
24 pages, 28 figures, minor modifications