# Real intersection homology II: A local duality obstruction

## TL;DR

This paper investigates the properties of real intersection homology, revealing that the intersection pairing does not always serve as a dual pairing, highlighting limitations in the theory.

## Contribution

It demonstrates that the intersection pairing on real intersection homology groups is not generally a dual pairing, providing new insights into the structure of the theory.

## Key findings

- The intersection pairing is not a dual pairing in general.
- Identifies limitations in the duality properties of real intersection homology.
- Provides a counterexample or theoretical explanation for the failure.

## Abstract

We show that the intersection pairing on our real intersection homology groups is not a dual pairing in general.