5 papers
Operads and Jet modules
Marc A. Nieper-Wißkirchen
Let be an algebra over an operad in a cocomplete closed symmetric monoidal category. We study the category of -modules. We define certain symmetric product functors of such…
Universal formulas for characteristic classes on the Hilbert schemes of points on surfaces
Samuel Boissiere, Marc A. Nieper-Wisskirchen
This article can be seen as a sequel to the first author's article ``Chern classes of the tangent bundle on the Hilbert scheme of points on the affine plane'', where he calculates…
Calculation of Rozansky-Witten invariants on the Hilbert schemes of points on a K3 surface and the Generalised Kummer varieties
Marc A. Nieper-Wisskirchen
By showing a structural result on how the Rozansky-Witten invariants of Hilbert schemes of points on a K3 surface and the Generalised Kummer varieties depend on the dimension, we g…
On the Elliptic Genus of Generalised Kummer Varieties
Marc A. Nieper-Wisskirchen
Borisov and Libgober recently proved a conjecture of Dijkgraaf, Moore, Verlinde, and Verlinde on the elliptic genus of a Hilbert scheme of points on a surface. We show how their re…
On the Chern numbers of the generalised Kummer varieties
Marc Arnold Nieper-Wisskirchen
Let denote the -dimensional generalised Kummer variety constructed from the abelian surface . Further, let be an arbitrary smooth projective surface wi…