Corpus ID: 186207025

Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties

@article{Chen2015SpringerCH,
  title={Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties},
  author={T. Chen and K. Vilonen and T. Xue},
  journal={arXiv: Representation Theory},
  year={2015}
}
In~\cite{CVX3}, we have established a Springer theory for the symmetric pair $(\operatorname{SL}(N),\operatorname{SO}(N))$. In this setting we obtain representations of (the Tits extension) of the braid group rather than just Weyl group representations. These representations arise from cohomology of families of certain (Hessenberg) varieties. In this paper we determine the Springer correspondence explicitly for IC sheaves supported on order 2 nilpotent orbits. In this process we encounter… Expand
3 Citations