On the center of quiver-Hecke algebras

Abstract

We compute the equivariant cohomology ring of the moduli space of framed instantons over the affine plane. It is a Rees algebra associated with the center of cyclotomic degenerate affine Hecke algebras of type A. We also give some related results on the center of quiver Hecke algebras and cohomology of quiver varieties.

arXiv comment72 pages

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Cited by in corpus (18)

• The cohomological Hall algebra of a preprojective algebra
• Trace decategorification of the Hecke category
• Current algebras and categorified quantum groups
• Diagrams and discrete extensions for finitary 2-representations
• The Elliptic Hall algebra and the deformed Khovanov Heisenberg category
• Cyclicity for categorified quantum groups
• Cyclotomic Yokonuma-Hecke algebras are cyclotomic quiver Hecke algebras
• Weyl modules for Lie superalgebras
• Centers of KLR algebras and cohomology rings of quiver varieties
• On the structure of cyclotomic nilHecke algebras
• Trace of the twisted Heisenberg Category
• An equivalence between truncations of categorified quantum groups and Heisenberg categories
• Coidempotent subcoalgebras and short exact sequences of finitary 2-representations
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• Representation type of higher level cyclotomic quiver Hecke algebras in affine type C
• Trace and categorical sl(n) representations
• On the (super)cocenter of Cyclotomic Sergeev algebras
• Coherent sheaves on surfaces, COHAs and deformed $W_{1+\infty }$-algebras