English

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

Geometric Topology 2020-11-24 v1

Abstract

The groups GnkG_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 GnkG_n^k, and construct a homomorphism from the surface singular braid monoid to the group Gn2G_n^2.

Keywords

Cite

@article{arxiv.2011.11273,
  title  = {On biquandles for the groups $G_n^k$ and surface singular braid monoid},
  author = {Sang Youl Lee and Vassily Olegovich Manturov and Igor Mikhailovich Nikonov},
  journal= {arXiv preprint arXiv:2011.11273},
  year   = {2020}
}
R2 v1 2026-06-23T20:26:19.530Z