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arXiv · 2201.07392

K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces

Noah Arbesfeld
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Abstract

We study the holomorphic Euler characteristics of tautological sheaves on Hilbert schemes of points on surfaces. In particular, we establish the rationality of K-theoretic descendent series. Our approach is to control equivariant holomorphic Euler characteristics over the Hilbert scheme of points on the affine plane. To do so, we slightly modify a Macdonald polynomial identity of Mellit.

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Noah Arbesfeld. 2022-01-19. K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces. https://doi.org/10.3842/sigma.2022.078

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