Corpus ID: 216868242

Hilbert schemes on plane curve singularities are generalized affine Springer fibers

  title={Hilbert schemes on plane curve singularities are generalized affine Springer fibers},
  author={Niklas Garner and Oscar Kivinen},
In this paper, we show that Hilbert schemes of planar curve singularities can be interpreted as generalized affine Springer fibers for $GL_n$. This leads to a construction of a rational Cherednik algebra action on their homology, which we compute in examples. This work was inspired in part by a construction in three-dimensional $\mathcal{N}=4$ gauge theory. 
1 Citations
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