K-theoretic descendent series for Hilbert schemes of points on surfaces
File(s)2201.07392v1.pdf (217.21 KB)
Supporting information
Author(s)
Arbesfeld, Noah
Type
Working Paper
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.
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
2022-01-26
Citation
2022
Publisher
ArXiv
Copyright Statement
©The Author(s) 2022
Sponsor
National Science Foundation
Identifier
http://arxiv.org/abs/2201.07392v1
Subjects
math.AG
math.AG
math.CO
Notes
15 pages
Publication Status
Published