Presentations of braid groups of type $A$ arising from $(m+2)$-angulations of regular polygons
Group Theory
2023-01-09 v2 Combinatorics
Abstract
We describe presentations of braid groups of type arising from coloured quivers of mutation type . We show that these can be interpreted geometrically as generalised triangulations of regular polygons.
Keywords
Cite
@article{arxiv.2203.17084,
title = {Presentations of braid groups of type $A$ arising from $(m+2)$-angulations of regular polygons},
author = {Davide Morigi},
journal= {arXiv preprint arXiv:2203.17084},
year = {2023}
}
Comments
30 pages, 5 figures. In v2: introduction expanded, remark 4.15 showing order of mutation is not m+1 added