The ideal-valued index of fibrations with total space a $G_2$ flag manifold

Noé Bárcenas, Jaime Calles Loperena

Using the cohomology of the $G_2$-flag manifolds $G_2/U(2{)}_{\pm }$, and their structure as a fiber bundle over the homogeneous space $G_2/SO(4)$, we compute the ${\mathbb{Z}}_2$ Fadel…