A Lefschetz duality intersection homology

TL;DR

This paper generalizes the classical Lefschetz duality for intersection homology, removing the need for pseudomanifolds with boundary to have a collared neighborhood, thus broadening its applicability.

Contribution

It proves a Lefschetz duality theorem for intersection homology without requiring the boundary to have a collared neighborhood, extending the classical results.

Findings

Lefschetz duality holds for a broader class of pseudomanifolds.

The duality does not require boundary collaring conditions.

The result generalizes classical intersection homology duality theorems.

Abstract

We prove a Lefschetz duality result for intersection homology. Usually, this result applies to pseudomanifolds with boundary which are assumed to have a "collared neighborhood of their boundary". Our duality does not need this assumption and is a generalization of the classical one.