The Cohomology Rings of Complements of Subspace Arrangements

@inproceedings{Longueville2000TheCR,
  title={The Cohomology Rings of Complements of Subspace Arrangements},
  author={Mark de Longueville and Carsten Schultz},
  year={2000}
}
The ring structure of the integral cohomology of complements of real linear subspace arrangements is considered. While the additive structure of the cohomology is given in terms of the intersection poset and dimension function by a theorem of Goresky and MacPherson, we describe the multiplicative structure in terms of the intersection poset, the dimension function and orientations of the participating subspaces for the class of arrangements without pairs of intersections of codimension one. In… CONTINUE READING
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