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arxiv: 1809.05227 · v2 · pith:ZP2PI7KTnew · submitted 2018-09-14 · 🧮 math.GT

Branched covering surface-knots with degree three have the simplifying numbers less than three

classification 🧮 math.GT
keywords branchedcoveringsurface-knotthreesimplifyingdegreelessnumbers
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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.

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