English

Poincar\'e Duality of the basic intersection cohomology of a Killing foliation

Algebraic Topology 2016-09-29 v1 Differential Geometry

Abstract

We prove that the basic intersection cohomology IHp(M/F)IH^*_{\overline{p}}(M / \mathcal{F}), where F\mathcal{F} is the singular foliation determined by an isometric action of a Lie group GG on the compact manifold MM, verifies the Poincar\'e Duality Property.

Keywords

Cite

@article{arxiv.1401.5816,
  title  = {Poincar\'e Duality of the basic intersection cohomology of a Killing foliation},
  author = {M. Saralegi-Aranguren and R Wolak},
  journal= {arXiv preprint arXiv:1401.5816},
  year   = {2016}
}