Configuration Spaces of Colored Graphs
Group Theory
2025-07-02 v1
Abstract
This paper is intended to provide concrete examples of concepts discussed elsewhere in this volume, especially splittings of groups and non-positively curved cube complexes but also other things. The idea of the construction (configuration spaces) is not new, but this family of examples doesn't seem to be well-known. Nevertheless they arise in a variety of contexts; applications are discussed in the last section. Most proofs are omitted.
Keywords
Cite
@article{arxiv.2507.00702,
title = {Configuration Spaces of Colored Graphs},
author = {Aaron Abrams},
journal= {arXiv preprint arXiv:2507.00702},
year = {2025}
}
Comments
This is the tenth of eleven old articles being uploaded to arxiv after publication