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arXiv · 2512.00318

A new class of affine $K(\pi,1)$ arrangements

Katherine Goldman·Jingyin Huang
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Abstract

We show that a certain class of affine hyperplane arrangements are $K(\pi,1)$ by endowing their Falk complexes with an injective metric. This gives new examples of infinite $K(\pi,1)$ arrangements in dimension $n>2$.

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Katherine Goldman, Jingyin Huang. 2025-11-29. A new class of affine $K(\pi,1)$ arrangements. https://arxiv.org/abs/2512.00318

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