Grassmannians in the Lattice points of Dilations of the Standard Simplex

Praise Adeyemo

A remarkable connection between the cohomology ring ${\mathrm{H}}^{\ast }(\mathrm{Gr}(d,d+r),\mathbb{Z})$ of the Grasssmannian $\mathrm{Gr}(d,d+r)$ and the lattice points of the dilation $r{\Delta }_d$ of the st…