On the degrees of equivariant maps from spheres to complex Stiefel manifolds

Abstract

We study the set of degrees of $\mathbb{Z}/m$-equivariant maps from spheres to complex Stiefel manifolds, motivated by the work of Astey--Gitler--Micha--Pastor. Under a suitable arithmetic condition, this set is determined using results of James, Atiyah--Todd, and Adams--Walker. Our approach is homotopy-theoretic.

21 pages; this article is dedicated to Fred Cohen and is submitted to the proceedings of the Fields program in honour of Fred Cohen