Topology of the octonionic flag manifold

Augustin-Liviu Mare, Matthieu Willems

The octonionic flag manifold $Fl(\mathbb{O})$ is the space of all pairs in $\mathbb{O}{P}^2\times \mathbb{O}{P}^2$ (where $\mathbb{O}{P}^2$ denotes the octonionic projective plane) which…