Configuration Spaces of Colored Graphs

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.

This is the tenth of eleven old articles being uploaded to arxiv after publication