English

Poincar\'e duality, cap product and Borel-Moore intersection Homology

Algebraic Topology 2020-09-22 v2

Abstract

Using a cap product, we construct an explicit Poincar\'e duality isomorphism between the blown-up intersection cohomology and the Borel-Moore intersection homology, for any commutative ring of coefficients and second-countable, oriented pseudomanifolds.

Keywords

Cite

@article{arxiv.1810.07498,
  title  = {Poincar\'e duality, cap product and Borel-Moore intersection Homology},
  author = {Martintxo Saralegi-Aranguren and Daniel Tanré},
  journal= {arXiv preprint arXiv:1810.07498},
  year   = {2020}
}