Poincar\'e Duality of the basic intersection cohomology of a Killing   foliation
  We prove that the basic intersection cohomology $IH^*_{\overline{p}}(M / \mathcal{F})$, where $\mathcal{F}$ is the singular foliation determined by an isometric action of a Lie group $G$ on the compact manifold $M$, verifies the Poincar\'e Duality Property. 
M. Saralegi-Aranguren and R Wolak
math.AT math.DG