Edge colored hypergraphic arrangements

Details Edge colored hypergraphic arrangements Edge colored hypergraphic arrangements

2009-03-25

arxiv.org/abs/0903.4221v1

Mathematics

Algebraic Topology

17 pages, to appear in Pure and Applied Mathematics Quarterly

Scientific paper

A subspace arrangement defined by intersections of hyperplanes of the braid arrangement can be encoded by an edge colored hypergraph. It turns out that the characteristic polynomial of this type of subspace arrangement is given by a generalized chromatic polynomial of the associated edge colored hypergraph. The main result of this paper supplies a sufficient condition for the existence of non-trivial Massey products of the subspace arrangements complex complement. This is accomplished by studying a spectral sequence associated to the Lie coalgebras of Sinha and Walter.

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