The Schwarz genus of the Stiefel manifold and counting geometric configurations

Pavle Blagojević, Roman Karasev

In this paper we compute: the Schwarz genus of the Stiefel manifold $V_k({\mathbb{R}}^n)$ with respect to the action of the Weyl group $W_k:=(\mathbb{Z}/2{)}^k⋊{\Sigma }_k$, and the Lust…