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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Arbesfeld, Noah
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211826
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces. Noah Arbesfeld. SIGMA 18 (2022), 078, 16 pages

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 descendant series. Our approach is to control equivariant holomorphic Euler characteristics over the Hilbert scheme of points on...