A new class of affine $K(\pi,1)$ arrangements
Group Theory
2025-12-02 v1 Combinatorics
Geometric Topology
Metric Geometry
Abstract
We show that a certain class of affine hyperplane arrangements are by endowing their Falk complexes with an injective metric. This gives new examples of infinite arrangements in dimension .
Cite
@article{arxiv.2512.00318,
title = {A new class of affine $K(\pi,1)$ arrangements},
author = {Katherine Goldman and Jingyin Huang},
journal= {arXiv preprint arXiv:2512.00318},
year = {2025}
}
Comments
28 pages. Comments welcome