Sur l'anneau de cohomologie du schéma de Hilbert de $\CC^2$

Abstract

We express the product of the cohomology ring of the Hilbert scheme in terms of the center of the algebra of the symmetric group. We give a conjecture for the case of crepant resolutions of symplectic quotient singularities.

AMS-TeX, 5 pages

Cited by in corpus (25)

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• Exts and Vertex Operators
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism
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• On the center of quiver-Hecke algebras
• More lectures on Hilbert schemes of points on surfaces
• Orbifold Cohomology of ADE-singularities
• N=2 gauge theories, instanton moduli spaces and geometric representation theory
• The Topological Symmetric Orbifold
• Towards geometric Satake correspondence for Kac-Moody algebras -- Cherkis bow varieties and affine Lie algebras of type $A$
• Stability of the centers of group algebras of $G{L}_n(q)$
• A geometric boson-fermion correspondence
• Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces
• The Chiral Ring of a Symmetric Orbifold and its Large N Limit
• Vertex Operators, Grassmannians, and Hilbert Schemes
• Poisson deformations of symplectic quotient singularities
• Generators of the Hecke algebra of $(S_{2n},B_n)$
• Vertex operators and the geometry of moduli spaces of framed torsion-free sheaves
• The quantum differential equation of the Hilbert scheme of points in the plane
• A projection formula for the ind-Grassmannian
• Orbifold cohomology for global quotients
• On the cohomology of Calogero-Moser spaces
• Fixed points in smooth Calogero-Moser spaces
• The Farahat-Higman ring of wreath products and Hilbert schemes
• Strengthening the Cohomological Crepant Resolution Conjecture for Hilbert-Chow morphisms