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<p>We consider the Hilbert scheme of points in the affine complex plane. We find explicit formulas for the Nakajima’s creation operators and their <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{\,\textrm{K}\,}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mspace width="0.166667em" /> <mtext>K</mtext> <mspace width="0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>-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.</p>

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Nakajima’s Creation Operators and the Kirwan Map

  • 期刊论文

  • 发表日期：

    2025年2月12日

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  • Jakub Koncki,
  • Magdalena Zielenkiewicz

摘要

We consider the Hilbert scheme of points in the affine complex plane. We find explicit formulas for the Nakajima’s creation operators and their \({{\,\textrm{K}\,}}\) 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.