Session 12. Geometry and Topology of Manifolds

Basic intersection cohomology for singular foliations

Robert Wolak, Jagiellonian University, Poland
The talk is based on the joint work with José Ignacio Royo Prieto and Martin Saralegi-Aranguren
The classical basic cohomology of a foliated manifold is insufficient to detect many important properties of singular foliations. We present recent results on topology and geometry of Riemannian manifolds foliated by singular foliations which involve basic intersection cohomology introduced in [1].
References
  1. M. Saralegi, R. Wolak, BIC of a conical fibration , Math. Notes 77, 2005, 213--231.
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