Finitness of the basic intersection cohomology of a Killing foliation

Abstract

We prove that the basic intersection cohomology ${IH}_{{}_{\bar{p}}}^{{}^{\ast }}(M/\mathcal{F}),$ where $\mathcal{F}$ is the singular foliation determined by an isometric action of a Lie group $G$ on the compact manifold $M$, is finite dimensional.

References in corpus (1)

• Tautness for riemannian foliations on non-compact manifolds

Cited by in corpus (1)

• Poincaré Duality of the basic intersection cohomology of a Killing foliation