AI 中文总结
本文受相关学者研究启发，基于同伦论方法，利用多位学者的成果，确定了满足合适算术条件的从球面到复Stiefel流形的ℤ/m-等变映射的次数集合。
AI 中文摘要
受Astey-Gitler-Micha-Pastor的研究工作启发，我们研究从球面到复Stiefel流形的ℤ/m-等变映射的次数集合。在合适的算术条件下，利用James、Atiyah-Todd和Adams-Walker的结果确定该集合，我们的方法基于同伦论。
英文摘要
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.
Comments21 pages; this article is dedicated to Fred Cohen and is submitted to the proceedings of the Fields program in honour of Fred Cohen
