Symmetric groups and the cup product on the cohomology of Hilbert schemes

Details Symmetric groups and the cup product on the cohomology of Hilbert schemes Symmetric groups and the cup product on the cohomology of Hilbert schemes

2000-09-13

arxiv.org/abs/math/0009131v2

Mathematics

Algebraic Geometry

12 pages. Minor corrections, reference added. To appear in: Duke Math. Journal

Scientific paper

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.

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