Vector fields on projective Stiefel manifolds and the Browder-Dupont invariant

Yanghyun Byun, Julius Korbas, Peter Zvengrowski

We develop strong lower bounds for the span of the projective Stiefel manifolds $X_{n,r}=O(n)/(O(n-r)\times \mathbb{Z}/2)$, which enable very accurate (in many cases exact) estimate…