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arXiv · 1001.0114

Topological properties of punctual Hilbert schemes of almost-complex fourfolds (I)

Julien Grivaux
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Abstract

In this article, we study topological properties of Voisin's punctual Hilbert schemes of an almost-complex fourfold $X$. In this setting, we compute 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 $K$-theory.

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Julien Grivaux. 2009-12-31. Topological properties of punctual Hilbert schemes of almost-complex fourfolds (I). https://doi.org/10.1007/s00229-011-0435-z

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