Geometry and combinatorics via right-angled Artin groups
Group Theory
2021-05-03 v2 Combinatorics
Geometric Topology
Abstract
We survey the relationship between the combinatorics and geometry of graphs and the algebraic structure of right-angled Artin groups. We concentrate on the defining graph of the right-angled Artin group and on the extension graph associated to the right-angled Artin group. Additionally, we discuss connections to geometric group theory and complexity theory. The final version of this survey will appear in "In the tradition of Thurston, vol.~II", ed.~K.~Ohshika and A.~Papadopoulos.
Cite
@article{arxiv.2103.09342,
title = {Geometry and combinatorics via right-angled Artin groups},
author = {Thomas Koberda},
journal= {arXiv preprint arXiv:2103.09342},
year = {2021}
}
Comments
47 pages, expanded exposition, some minor corrections and added references