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The BIC of a conial fibration

M. Saralegi-Aranguren·R. Wolak
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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.

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M. Saralegi-Aranguren, R. Wolak. 2002-02-01. The BIC of a conial fibration. https://arxiv.org/abs/math/0202013

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