20 citations · 31 across the 5 of their papers we have counts for
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Hochschild cohomology of Hilbert schemes of points on surfaces
Pieter Belmans, Lie Fu, Andreas Krug
We compute the Hochschild cohomology of Hilbert schemes of points on surfaces and observe that it is, in general, not determined solely by the Hochschild cohomology of the surface,…
Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles
Andreas Krug
We study the images of tautological bundles on Hilbert schemes of points on surfaces and their wedge powers under the derived McKay correspondence. The main observation of the pape…
Equivalences of equivariant derived categories
Andreas Krug, Pawel Sosna
We investigate conditions for a Fourier-Mukai transform between derived categories of coherent sheaves on smooth projective stacks endowed with actions by finite groups to lift to…
P-functor versions of the Nakajima operators
Andreas Krug
For every smooth quasi-projective surface X we construct a series of P^{n-1}-functors H_{l,n}: D(X x X^[l]) --> D(X^[n+l]) between the derived categories of the Hilbert schemes of…
On the derived category of the Hilbert scheme of points on an Enriques surface
Andreas Krug, Pawel Sosna
We use semi-orthogonal decompositions to construct autoequivalences of Hilbert schemes of points on Enriques surfaces and of Calabi-Yau varieties which cover them. While doing this…