Abstract : In the paper we introduce the notions of a singular fibration and a singular Seifert fibration. These notions are natural generalizations of the notion of a locally trivial fibration to the category of stratified pseudomanifolds. For singular foliations defined by such fibrations we prove a de Rham type theorem for the basic intersection cohomology introduced the authors in a recent paper. One of important examples of such a structure is the natural projection onto the leaf space for the singular Riemannian foliation defined by an action of a compact Lie group on a compact smooth manifold.
https://hal-univ-artois.archives-ouvertes.fr/hal-00869648
Contributeur : Martintxo Saralegi-Aranguren
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Soumis le : jeudi 3 octobre 2013 - 18:12:08
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48
M. Saralegi-Aranguren, R. Wolak. The BIC of a conial fibration. Matematicheskie Zametki / Mathematical Notes, MAIK Nauka/Interperiodica, 2005, 77, pp.235-257. 〈hal-00869648〉
