The BIC of a conial fibration

Details The BIC of a conial fibration The BIC of a conial fibration

2002-02-01

arxiv.org/abs/math/0202013v1

Mat. Zametki 77(2005), 235-257 & Translation in Math. Notes(2005), 213-231.

Mathematics

Differential Geometry

22 pages

Scientific paper

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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