Nakajima's creation operators and the Kirwan map
Algebraic Geometry
2025-02-10 v3
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.
Keywords
Cite
@article{arxiv.2304.07241,
title = {Nakajima's creation operators and the Kirwan map},
author = {Jakub Koncki and Magdalena Zielenkiewicz},
journal= {arXiv preprint arXiv:2304.07241},
year = {2025}
}