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For a virtual knot Formula: see text and an integer Formula: see text with Formula: see text, we introduce a method of constructing an Formula: see text-component virtual link Formula: see text, which we call the Formula: see text-multiplexing of Formula: see text. Every invariant of Formula: see text is an invariant of Formula: see text. We give a way of calculating three kinds of invariants of Formula: see text using invariants of Formula: see text. As an application of our method, we also show that Manturov’s virtual Formula: see text-colorings for Formula: see text can be interpreted as certain classical Formula: see text-colorings for Formula: see text.
Kodai Wada (Fri,) studied this question.