K-theoretic descendent series for Hilbert schemes of points on surfaces
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Published version
Author(s)
Arbesfeld, Noah
Type
Journal Article
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.
Date Issued
2022-10-16
Date Acceptance
2022-09-26
Citation
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2022, 18, pp.1-16
ISSN
1815-0659
Publisher
National Academy of Science of Ukraine
Start Page
1
End Page
16
Journal / Book Title
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume
18
Copyright Statement
© The Author(s) 2022. Papers published in SIGMA under the terms of the Creative Commons Attribution-ShareAlike License (https://creativecommons.org/licenses/by-sa/4.0/)
License URL
Subjects
0101 Pure Mathematics
0102 Applied Mathematics
0105 Mathematical Physics
Publication Status
Published
Article Number
ARTN 078
Date Publish Online
2022-10-16