Intersection homology and Poincaré duality on homotopically stratified spaces

Abstract

We show that intersection homology extends Poincare duality to manifold homotopically stratified spaces (satisfying mild restrictions). This includes showing that, on such spaces, the sheaf of singular intersection chains is quasi-isomorphic to the Deligne sheaf.

arXiv commentGeneralized duality results to hold over principal ideal domains assuming local Goresky-Siegel type torsion conditions. Also added a section on what properties are necessary for duality to hold over ground rings of higher homological dimension