A generalisation of the Burau representation and groups $G_{n}^{3}$ for classical braids
Geometric Topology
2026-02-10 v1
Abstract
We consider a certain modification of the group which describes dynamics of point configurations, in particular braids, and define a representation of the modified . The braid representation induced is powerful enough to detect the kernel of the Burau representation.
Cite
@article{arxiv.2602.07890,
title = {A generalisation of the Burau representation and groups $G_{n}^{3}$ for classical braids},
author = {Vassily Olegovich Manturov and Igor Mikhailovich Nikonov},
journal= {arXiv preprint arXiv:2602.07890},
year = {2026}
}