On the cohomology ring and upper characteristic rank of Grassmannian of oriented $3$-planes

Somnath Basu, Prateep Chakraborty

In this paper we study the mod $2$ cohomology ring of the Grasmannian ${\tilde{G}}_{n,3}$ of oriented $3$-planes in ${\mathbb{R}}^n$. We determine the degrees of the indecomposable…