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We introduce the multiplexing of a crossing, replacing a classical crossingof a virtual link diagram with multiple crossings which is a mixture ofclassical and virtual. For integers $m_{i}$ $(i=1,\ldots,n)$ and an ordered$n$-component virtual link diagram $D$, a new virtual link diagram$D(m_{1},\ldots,m_{n})$ is obtained from $D$ by the multiplexing of allcrossings. For welded isotopic virtual link diagrams $D$ and $D'$,$D(m_{1},\ldots,m_{n})$ and $D'(m_{1},\ldots,m_{n})$ are welded isotopic. Fromthe point of view of classical link theory, it seems very interesting that$D(m_{1},\ldots,m_{n})$ could not be welded isotopic to a classical linkdiagram even if $D$ is a classical one, and new classical link invariants areexpected from known welded link invariants via the multiplexing of crossings.

Link invariants derived from multiplexing of crossings