Spatial Cube Complexes
Group Theory
2024-12-24 v2 Geometric Topology
Abstract
We provide a new geometric characterization for the spine of untwisted outer space of a right-angled Artin group, constructed by Charney, Stambaugh, and Vogtmann. We realize the spine as the natural simplicial complex associated with the category of spatial cube complexes, a new class of locally CAT(0) cube complexes with a simple definition in terms of hyperplane collapses.
Keywords
Cite
@article{arxiv.2411.06242,
title = {Spatial Cube Complexes},
author = {Adrien Abgrall},
journal= {arXiv preprint arXiv:2411.06242},
year = {2024}
}
Comments
Corrected main definition. 26 pages