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

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.

References in corpus (3)

• On the Cobordism Class of the Hilbert Scheme of a Surface
• Chern Classes of Tautological Sheaves on Hilbert Schemes
• Sur la cohomologie d'un fibre tautologique sur le schema de Hilbert d'une surface