# On the topology of real Bott manifolds

## TL;DR

This paper provides a complete combinatorial criterion to determine when a real Bott manifold admits a spin structure, linking topological properties to associated acyclic digraphs.

## Contribution

It introduces a necessary and sufficient condition for the existence of spin structures on real Bott manifolds, expressed through combinatorial data.

## Key findings

- Characterization of spin structures via acyclic digraphs
- Necessary and sufficient condition for spin structures
- Link between topology and combinatorics in Bott manifolds

## Abstract

The main aim of this article is to give a necessary and sufficient condition for a real Bott manifold to admit a spin structure and further give a combinatorial characterization for the spin structure in terms of the associated acyclic digraph.