Rational homotopy of maps between certain complex Grassmann manifolds

Prateep Chakraborty, Shreedevi K. Masuti

Let $G_{n,k}$ denote the complex Grassmann manifold of $k$-dimensional vector subspaces of ${\mathbb{C}}^n$. Assume $l,k\le \lfloor n/2\rfloor$. We show that, for sufficiently large…