Formality of the Complements of Subspace Arrangements with Geometric Lattices
نویسندگان
چکیده
We show that, for an arrangement of subspaces in a complex vector space with geometric intersection lattice, the complement of the arrangement is formal. We prove that the Morgan rational model for such an arrangement complement is formal as a differential graded algebra.
منابع مشابه
Homotopy Lie Algebra of the Complements of Subspace Arrangements with Geometric Lattices
Let A be a geometric arrangement such that codim(x) ≥ 2 for every x ∈ A. We prove that, if the complement space M(A) is rationally hyperbolic, then there exists an injective map L(u, v) → π⋆(ΩM(A)) ⊗ Q.
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