The homotopy type of a once-suspended 6-manifold and its applications

2021/09/25 by Tyrone Cutler, Cutler, Tyrone, Tseleung So +1
Mathematics · Medicine · #55P15 #55P40 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #Primary 57N65

paper · pdf · doi:10.48550/arxiv.2109.12415

openalex publication_date 2021/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let M be a closed, oriented, simply connected 6-manifold. After localization away from 2, we give a homotopy decomposition of ΣM in terms of spheres, Moore spaces and other recognizable spaces. As applications we calculate generalized cohomology groups of M and determine the homotopy types of gauge groups of certain bundles over M.

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