Equivariant perverse sheaves on Coxeter arrangements and buildings
@article{Weissman2019EquivariantPS, title={Equivariant perverse sheaves on Coxeter arrangements and buildings}, author={Martin H. Weissman}, journal={{\'E}pijournal de G{\'e}om{\'e}trie Alg{\'e}brique}, year={2019} }
When $W$ is a finite Coxeter group acting by its reflection representation on
$E$, we describe the category ${\mathsf{Perv}}_W(E_{\mathbb C},
{\mathcal{H}}_{\mathbb C})$ of $W$-equivariant perverse sheaves on $E_{\mathbb
C}$, smooth with respect to the stratification by reflection hyperplanes. By
using Kapranov and Schechtman's recent analysis of perverse sheaves on
hyperplane arrangements, we find an equivalence of categories from
${\mathsf{Perv}}_W(E_{\mathbb C}, {\mathcal{H}}_{\mathbb C…
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