Poincaré Duality of the basic intersection cohomology of a Killing foliation

Abstract

We prove that the basic intersection cohomology $I{H}_{\overline{p}}^{\ast }(M/\mathcal{F})$, where $\mathcal{F}$ is the singular foliation determined by an isometric action of a Lie group $G$ on the compact manifold $M$, verifies the Poincaré Duality Property.