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On the equivariant cohomology of Hilbert schemes of points in the plane

On the equivariant cohomology of Hilbert schemes of points in the plane

Let S be the affine plane regarded as a toric variety with an action of the 2-dimensional torus T. We study the equivariant Chow ring A K * (S [n] ) of the punctual Hilbert scheme S [n] with equivariant coefficients inverted. We compute base change formulas in A K …