Homotopy Lie algebra of the complements of subspace arrangements with geometric lattices

Details Homotopy Lie algebra of the complements of subspace arrangements with geometric lattices Homotopy Lie algebra of the complements of subspace arrangements with geometric lattices

2007-05-10

arxiv.org/abs/0705.1451v1

Mathematics

Algebraic Topology

9 pages

Scientific paper

Let A be a geometric arrangement such that codim(x) > 1 for every x in A. We
prove that, if the complement space M(A) is rationally hyperbolic, then there
exists an injective from a free Lie algebra L(u,v) to the homotopy Lie algebra
of M(A).

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