Abstract
We prove that the basic intersection cohomology \({{\mathbb H}^{*}_{\overline{p}}({M / \mathcal{F}})}\) , where \({\mathcal F}\) is the singular foliation determined by an isometric action of a Lie group G on the compact manifold M, is finite dimensional.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Saralegi-Aranguren, M., Wolak, R. Finiteness of the basic intersection cohomology of a Killing foliation. Math. Z. 272, 443–457 (2012). https://doi.org/10.1007/s00209-011-0942-3
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DOI: https://doi.org/10.1007/s00209-011-0942-3