Symmetric groups and the cup product on the cohomology of Hilbert schemes
arXiv:math/0009131
Abstract
The integral cohomology ring of the Hilbert scheme of n-tuples on the affine plane is shown to be isomorphic to the graded ring associated to a filtration of the ring of integral class functions on the symmetric group.
12 pages. Minor corrections, reference added. To appear in: Duke Math. Journal