# Homology of Hilbert schemes of points on a locally planar curve

@article{Rennemo2013HomologyOH, title={Homology of Hilbert schemes of points on a locally planar curve}, author={J{\o}rgen Vold Rennemo}, journal={arXiv: Algebraic Geometry}, year={2013} }

Let C be a proper, integral, locally planar curve, and consider its Hilbert schemes of points C^[n]. We define 4 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.
As a corollary, we compute the cohomology of C^[n] in terms of the cohomology of the compactified Jacobian of C… Expand

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