A generalisation of the Burau representation and groups $G_{n}^{3}$ for classical braids

Vassily Olegovich Manturov; Igor Mikhailovich Nikonov

doi:10.48550/arxiv.2602.07890

A generalisation of the Burau representation and groups $G_{n}^{3}$ for classical braids

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Vassily Olegovich Manturov, Igor Mikhailovich Nikonov

DOI: 10.48550/arxiv.2602.07890

Cited by: 0

Abstract

We consider a certain modification of the group $G^3_n$ which describes dynamics of point configurations, in particular braids, and define a representation of the modified $G^3_n$. The braid representation induced is powerful enough to detect the kernel of the Burau representation.

Fields of Study & Subjects

Geometric and Algebraic Topology Finite Group Theory Research Mathematics and Applications

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 8 February 2026
Language: EN
Document type: Preprint