Free circle actions on certain simply connected 7-manifolds

2024/09/08 by Feng Xu, Xu, Fupeng
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2409.04938

Abstract

In this paper, we determine for which nonnegative integers k, l and for which homotopy 7-sphere Σ the manifold kS²× S⁵#lS³× S⁴#Σ admits a free smooth circle action.

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