# Finitness of the basic intersection cohomology of a Killing foliation

Abstract : We prove that the basic intersection cohomology ${I\! \! H}^{^{*}}_{_{\overline{p}}}{\left( M/\mathcal{F} \right)},$ 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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Journal articles

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https://hal-univ-artois.archives-ouvertes.fr/hal-00443657
Contributor : Martintxo Saralegi-Aranguren <>
Submitted on : Friday, January 1, 2010 - 10:25:44 PM
Last modification on : Friday, September 4, 2020 - 2:46:03 PM
Long-term archiving on: : Friday, June 18, 2010 - 12:13:07 AM

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### Citation

M. Saralegi-Aranguren, R. Wolak. Finitness of the basic intersection cohomology of a Killing foliation. Mathematische Zeitschrift, Springer, 2012, 272, pp.443-457. ⟨10.1007/s00209-011-0942-3⟩. ⟨hal-00443657⟩

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