Homology of Hilbert schemes of points on a locally planar curve

摘要

Let C be a proper, integral, locally planar curve, and consider its Hilbert schemes of points C-[n]. We define four creation/annihilation operators acting on the rational homology groups of these Hilbert schemes and show that the operators satisfy the relations of a Weyl algebra. The action of this algebra is similar to that defined by Grojnowski and Nakajima for a smooth surface.