# 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…

## 2 Citations

Recollement for perverse sheaves on real hyperplane arrangements

- Mathematics
- 2018

Shuffle algebras and perverse sheaves

- MathematicsPure and Applied Mathematics Quarterly
- 2020

We relate shuffle algebras, as defined by Nichols, Feigin-Odesskii and Rosso, to perverse sheaves on symmetric products of the complex line (i.e., on the spaces of monic polynomials stratified by…

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