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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59928The 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. JournalAlgebraic Geometry14C05, 14C15, 20B30; 17B68, 17B69, 20C05Symmetric groups and the cup product on the cohomology of Hilbert schemestext