9 citations · 13 across the 7 of their papers we have counts for
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Remarks on derived equivalences of Ricci-flat manifolds
Daniel Huybrechts, Marc Nieper-Wisskirchen
We present results indicating that the decomposition of a Ricci-flat manifold in its irreducible factors is reflected by the derived category of coherent sheaves. More precisely, w…
Twisted cohomology of the Hilbert schemes of points on surfaces
Marc A. Nieper-Wisskirchen
We calculate the cohomology spaces of the Hilbert schemes of points on surfaces with values in locally constant systems. For that purpose, we generalise I. Grojnoswki's and H. Naka…
Characteristic classes of the Hilbert schemes of points on non-compact simply-connected surfaces
Marc Nieper-Wisskirchen
We prove a closed formula expressing any multiplicative characteristic class evaluated on the tangent bundle of the Hilbert schemes of points on a non-compact simply-connected surf…
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…