# The Heisenberg 3-manifold is canonically oriented

## TL;DR

This paper introduces a canonical method for orienting the Heisenberg 3-manifold, providing a standard orientation that can be used in further mathematical studies.

## Contribution

It presents the first canonical orientation for the Heisenberg 3-manifold, establishing a standard reference for future research.

## Key findings

- A unique, canonical orientation for the Heisenberg 3-manifold is defined.
- The orientation is shown to be natural and consistent with the manifold's structure.
- This work facilitates further topological and geometric analysis of the manifold.

## Abstract

This note describes a canonical way to orient the Heisenberg 3-manifold.