# Isomorphisms and parity of complexes of rank 7/4

## TL;DR

This paper investigates the classification of simply connected complexes of rank 7/4 through a local invariant called parity, providing explicit computation methods in specific constructions derived from surgery.

## Contribution

It introduces a method to compute the parity invariant explicitly for complexes of rank 7/4, aiding their classification.

## Key findings

- Parity can be explicitly computed in certain constructions.
- The parity invariant helps distinguish isomorphism types.
- Surgery-based constructions facilitate the analysis.

## Abstract

We study the isomorphism types of simply connected complexes of rank 7/4 using a local invariant called the parity. We show that the parity can be computed explicitly in certain constructions arising from surgery.