Pfunctor versions of the Nakajima operatorsAndreas Krug
For every smooth quasiprojective surface X we construct a series of P^{n1}functors H_{l,n}: D(X x X^[l]) > D(X^[n+l]) between the derived categories of the Hilbert schemes of points for n>max{l,1} using the derived McKay correspondence. They can be considered as analogues of the Nakajima operators. The functors also restrict to P^{n1}functors on the generalised Kummer varieties. We also study the induced autoequivalences and obtain, for example, a universal braid relation in the groups of derived autoequivalences of Hilbert squares of K3 surfaces and Kummer fourfolds. Document Actions 
