The mod 2 cohomology rings of oriented Grassmannians via Koszul complexes

Ákos K. Matszangosz, Matthias Wendt

We study the structure of mod 2 cohomology rings of oriented Grassmannians ${\widetilde{\mathrm{Gr}}}_k(n)$ of oriented $k$-planes in ${\mathbb{R}}^n$. Our main focus is on the struc…