A subspace arrangement in is a finite set of subspaces of . The complement space is . If is elliptic, then the homotopy Lie algebra is finitely generated. In this paper, we prove that if is a geometric arrangement such that is a hyperbolic 1–connected space, then there exists an injective map where denotes a free Lie algebra on two generators.
"The homotopy Lie algebra of the complements of subspace arrangements with geometric lattices." Algebr. Geom. Topol. 7 (4) 2007 - 2020, 2007. https://doi.org/10.2140/agt.2007.7.2007