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## Finitness of the basic intersection cohomology of a Killing foliation

Submitted by mathbot to Differential Geometry, 5026 hours ago. 0 votes.

We prove that the basic intersection cohomology $ {I H}^{^{*}}_{_{\bar{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 $M$, is finite dimensional.

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