Topological properties of Hilbert schemes of almost-complex fourfolds (I) |
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| Authors: | Julien Grivaux |
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| Affiliation: | 1. Centre de Math??matiques et Informatique, UMR CNRS 6632 (LATP), 39 rue Fr??d??ric Joliot-Curie, 13453, Cedex 13, Marseille, France
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| Abstract: | In this article, we study topological properties of Voisin??s Hilbert schemes of an almost-complex four-manifold X. We compute in this setting their Betti numbers and construct Nakajima operators. We also define tautological bundles associated with any complex bundle on X, which are shown to be canonical in K?Ctheory. |
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