Braid groups and right angled Artin groups
几何拓扑
2007-05-23 v1 群论
摘要
The n-string braid group of a graph X is defined as the fundamental group of the n-point configuration space of the space X. This configuration space is a finite dimensional aspherical space. A. Abrams and R. Ghrist have conjectured that this braid group is a right angled Artin group if X is planar. We prove their conjecture if X is a tree whose nodes all lie in a single interval of X.
引用
@article{arxiv.math/0411368,
title = {Braid groups and right angled Artin groups},
author = {Frank Connolly and Margaret Doig},
journal= {arXiv preprint arXiv:math/0411368},
year = {2007}
}
备注
13 pages