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- W4300775724 abstract "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 $A_{K}^*(Hilb^n(S))$ of the punctual Hilbert scheme $Hilb^n(S)$ with equivariant coefficients inverted. We compute base change formulas in $A_{K}^*(Hilb^n(S))$ between the natural bases introduced by Nakajima, Ellingsrud and Str{o}mme, and the classical basis associated with the fixed points. We compute the equivariant commutation relations between creation/annihilation operators. We express the class of the small diagonal in $Hilb^n(S)$ in terms of the equivariant Chern classes of the tautological bundle. We prove that the nested Hilbert scheme $Hilb^[n,n+1](S)$ parametrizing nested punctual subschemes of degree $n$ and $n+1$ is irreducible." @default.
- W4300775724 created "2022-10-04" @default.
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- W4300775724 date "2012-05-24" @default.
- W4300775724 modified "2023-09-23" @default.
- W4300775724 title "On the equivariant cohomology of Hilbert schemes of points in the plane" @default.
- W4300775724 doi "https://doi.org/10.48550/arxiv.1205.5470" @default.
- W4300775724 hasPublicationYear "2012" @default.
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