Poincaré duality, cap product and Borel-Moore intersection Homology

Abstract

Using a cap product, we construct an explicit Poincaré 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.

References in corpus (5)

• Blown-up intersection cohomology
• Poincaré duality with cap products in intersection homology
• Blown-up intersection cochains and Deligne's sheaves
• Intersection homology duality and pairings: singular, PL, and sheaf-theoretic
• Intersection Homology. General perversities and topological invariance

Cited by in corpus (4)

• Intersection homology duality and pairings: singular, PL, and sheaf-theoretic
• A reasonable notion of dimension for singular intersection homology
• Natural operations in Intersection Cohomology
• Simplicial intersection homology revisited