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K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces
Symmetry, integrability and geometry: methods and applications, Tome 18 (2022) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Noah Arbesfeld},
     title = {K-Theoretic {Descendent} {Series} for {Hilbert} {Schemes} of {Points} on {Surfaces}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2022_18_a77/}
}
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Noah Arbesfeld. K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces. Symmetry, integrability and geometry: methods and applications, Tome 18 (2022). http://geodesic.mathdoc.fr/item/SIGMA_2022_18_a77/

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