2022/08/12 by Samik Basu, Debanil Dasgupta, Basu, Samik +5
Computer Science · Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2208.06217
openalex publication_date 2022/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main objective of this paper is to analyze the p-local homotopy type of the complex projective Stiefel manifolds, and other analogous quotients of Stiefel manifolds. We take the cue from a result of Yamaguchi about the p-regularity of the complex Stiefel manifolds which lays down some hypotheses under which the Stiefel manifold is p-locally a product of odd dimensional spheres. We show that in many cases, the projective Stiefel manifolds are p-locally a product of a complex projective space and some odd dimensional spheres. As an application, we prove that in these cases, the p-regularity result of Yamaguchi is also S1-equivariant.