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arXiv · 2304.07241

Nakajima's creation operators and the Kirwan map

Jakub Koncki·Magdalena Zielenkiewicz
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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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Jakub Koncki, Magdalena Zielenkiewicz. 2023-04-14. Nakajima's creation operators and the Kirwan map. https://arxiv.org/abs/2304.07241

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