Finitness of the basic intersection cohomology of a Killing foliation - Archive ouverte HAL Access content directly
Journal Articles Mathematische Zeitschrift Year : 2012

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

Martintxo Saralegi-Aranguren
Robert Wolak
• Function : Author

#### 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.

#### Domains

Mathematics [math] Differential Geometry [math.DG]

### Dates and versions

hal-00443657 , version 1 (01-01-2010)

### Identifiers

• HAL Id : hal-00443657 , version 1
• ARXIV :
• DOI :

### Cite

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

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