Nakajima's creation operators and the Kirwan map

Jakub Koncki; Magdalena Zielenkiewicz

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Nakajima's creation operators and the Kirwan map

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arxiv 2304.07241 v3 pith:B56EXMHX submitted 2023-04-14 math.AG

Jakub Koncki , Magdalena Zielenkiewicz This is my paper

classification math.AG

keywords creationnakajimaoperatorskirwanactionaffinebundlechern

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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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