Gauss diagram formulas of Vassiliev invariants of spatial 2-bouquet graphs

Noboru Ito; Natsumi Oyamaguchi

doi:10.1016/j.topol.2020.107580

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arXiv · 2006.03861

Gauss diagram formulas of Vassiliev invariants of spatial 2-bouquet graphs

Noboru Ito·Natsumi Oyamaguchi

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Abstract

We introduce new formulas that are Vassiliev invariants of flat vertex isotopy classes of spatial 2-bouquet graphs, which are equivalent to 2-string links. Although any Gauss diagram formula of Vassiliev invariants of spatial 2-bouquet graphs in a 3-space has been unknown, this paper gives the first and simple example.

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Noboru Ito, Natsumi Oyamaguchi. 2020-06-06. Gauss diagram formulas of Vassiliev invariants of spatial 2-bouquet graphs. https://doi.org/10.1016/j.topol.2020.107580

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