Cluster braid groups of Coxeter-Dynkin diagrams
Combinatorics
2023-10-23 v2 Geometric Topology
Representation Theory
Abstract
Cluster exchange groupoids are introduced by King-Qiu as an enhancement of cluster exchange graphs to study stability conditions and quadratic differentials. In this paper, we introduce the exchange groupoid for any finite Coxeter-Dynkin diagram and show that the fundamental group of which is isomorphic to the corresponding braid group associated with .
Cite
@article{arxiv.2310.02871,
title = {Cluster braid groups of Coxeter-Dynkin diagrams},
author = {Zhe Han and Ping He and Yu Qiu},
journal= {arXiv preprint arXiv:2310.02871},
year = {2023}
}
Comments
19 pages, 8 figures