Graph 4-braid groups and Massey products
Geometric Topology
2014-07-15 v1 Group Theory
Abstract
We first show that the braid group over a graph topologically containing no -shape subgraph has a presentation related only by commutators. Then using discrete Morse theory and triple Massey products, we prove that a graph topologically contains none of four prescribed graphs if and only if its 4-braid groups is a right-angled Artin group.
Keywords
Cite
@article{arxiv.1407.3723,
title = {Graph 4-braid groups and Massey products},
author = {Ki Hyoung Ko and Joon Hyun La and Hyo Won Park},
journal= {arXiv preprint arXiv:1407.3723},
year = {2014}
}
Comments
23 pages, 4 figures