Nakajima's creation operators and the Kirwan map

2023/04/14 by Jakub Koncki, Koncki, Jakub, Magdalena Zielenkiewicz +1 · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Algebra and Geometry #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2304.07241

Abstract

We consider the Hilbert scheme of points in the affine complex plane. We find explicit formulas for the Nakajima's creation operators and their K-theoretic counterparts in terms of the Kirwan map. We obtain a description of the action of Nakajima's creation operators on the Chern classes of the tautological bundle.

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