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[Keyword: Melnikov Method] AND [All Books] (3)	27 Mar 2025	Run
[in Journal: International Journal of Mathematics] AND [Keyword: Linking Number] (1)	27 Mar 2025	Run
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[in Journal: Global Journal of Economics] AND [Keyword: Exchange Rates] (1)	27 Mar 2025	Run

articleNo Access
On invariants of multiplexed virtual links
- Kodai Wada
International Journal of Mathematics27 Jul 2024
Preview Abstract
For a virtual knot $K$ $K$ and an integer $r$ $r$ with $r \geq 2$ $r \geq 2$ , we introduce a method of constructing an $r$ $r$ -component virtual link $L (K; r)$ $L (K; r)$ , which we call the $r$ $r$ -multiplexing of $K$ $K$ . Every invariant of $L (K; r)$ $L (K; r)$ is an invariant of $K$ $K$ . We give a way of calculating three kinds of invariants of $L (K; r)$ $L (K; r)$ using invariants of $K$ $K$ . As an application of our method, we also show that Manturov’s virtual $n$ $n$ -colorings for $K$ $K$ can be interpreted as certain classical $n$ $n$ -colorings for $L (K; 2)$ $L (K; 2)$ .

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