Intersection homology and Poincaré duality on homotopically stratified spaces

Details Intersection homology and Poincaré duality on homotopically stratified spaces Intersection homology and Poincaré duality on homotopically stratified spaces

2007-02-05

arxiv.org/abs/math/0702087v2

Geometry and Topology 13 (2009), 2163-2204

Mathematics

Geometric Topology

Generalized duality results to hold over principal ideal domains assuming local Goresky-Siegel type torsion conditions. Also a

Scientific paper

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.

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