Finiteness of the basic intersection cohomology of a Killing foliationReport as inadecuate




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Mathematische Zeitschrift

, Volume 272, Issue 1–2, pp 443–457

First Online: 15 October 2011Received: 21 December 2009Accepted: 13 September 2011

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.

KeywordsBasic intersection cohomology Lie group actions Partially supported by the KBN grant 2 PO3A 021 25.

Mathematics Subject Classification 200057S20 55N33  Download to read the full article text



Author: Martintxo Saralegi-Aranguren - Robert Wolak

Source: https://link.springer.com/







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