An unknotting index for virtual knots
classification
🧮 math.GT
keywords
indexunknottingvirtualknotknotscomputationdiscussexamples
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In this paper we introduce the notion of an unknotting index for virtual knots. We give some examples of computation by using writhe invariants, and discuss a relationship between the unknotting index and the virtual knot module. In particular, we show that for any non-negative integer $n$ there exists a virtual knot whose unknotting index is $(1,n)$.
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