2 papers
math.GR2025
A new class of affine arrangements
Katherine Goldman, Jingyin Huang
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 …
math.GR2025
353-combinatorial curvature and the -dimensional conjecture
Jingyin Huang, Piotr Przytycki
We prove the conjecture for Artin groups of dimension . As an ingredient, we introduce a new form of combinatorial non-positive curvature.