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

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

2009-12-31

arxiv.org/abs/1001.0114v1

Mathematics

Algebraic Geometry

Scientific paper

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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