On biquandles for the groups $G_n^k$ and surface singular braid monoid

Sang Youl Lee; Vassily Olegovich Manturov; Igor Mikhailovich Nikonov

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arXiv · 2011.11273

On biquandles for the groups $G_n^k$ and surface singular braid monoid

Sang Youl Lee·Vassily Olegovich Manturov·Igor Mikhailovich Nikonov

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Abstract

The groups $G_n^k$ were defined by V. O. Manturov in order to describe dynamical systems in configuration systems. In the paper we consider two applications of this theory: we define a biquandle structure on the groups $G_n^k$, and construct a homomorphism from the surface singular braid monoid to the group $G_n^2$.

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Sang Youl Lee, Vassily Olegovich Manturov, Igor Mikhailovich Nikonov. 2020-11-23. On biquandles for the groups $G_n^k$ and surface singular braid monoid. https://arxiv.org/abs/2011.11273

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