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K-theoretic descendent series for Hilbert schemes of points on surfaces

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Title: K-theoretic descendent series for Hilbert schemes of points on surfaces
Authors: Arbesfeld, N
Item 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.
Issue Date: 26-Jan-2022
URI: http://hdl.handle.net/10044/1/93912
Publisher: ArXiv
Copyright Statement: ┬ęThe Author(s) 2022
Sponsor/Funder: National Science Foundation
Keywords: math.AG
math.AG
math.CO
math.AG
math.AG
math.CO
Notes: 15 pages
Publication Status: Published
Appears in Collections:Faculty of Natural Sciences