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K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces
Noah Arbesfeld Department of Mathematics, Huxley Building, Imperial College London, London SW7 2AZ, UK
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.
Keywords:
Hilbert schemes, tautological bundles, Macdonald polynomials.
Received: January 28, 2022; in final form October 3, 2022; Published online October 16, 2022
Citation:
Noah Arbesfeld, “K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces”, SIGMA, 18 (2022), 078, 16 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1874 https://www.mathnet.ru/eng/sigma/v18/p78
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Abstract page: | 42 | Full-text PDF : | 8 | References: | 8 |
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