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Kodai Wada

Link invariants derived from multiplexing of crossings
Vendredi, 6 Octobre, 2017 - 10:30
Résumé : 
We introduce the multiplexing of a crossing, replacing a classical crossing of a virtual link diagram with multiple crossings which is a mixture of classical 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 all crossings. 
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. 
From the viewpoint of classical link theory, it seems very interesting that new classical link invariants are obtained from welded link invariants via the multiplexing of crossings.

 

Institution de l'orateur : 
Waseda University
Thème de recherche : 
Topologie
Salle : 
4
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