Geodesic
Homotopy types of suspended 4–manifolds
Li, Pengcheng1
1 Department of Mathematics, School of Sciences, Great Bay University, Dongguan, Guangdong, China
Algebraic and Geometric Topology, Tome 24 (2024) no. 5, pp. 2933-2956

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Given a closed, smooth, connected, orientable 4–manifold M whose integral homology groups can have 2–torsion, we determine the homotopy decomposition of the double suspension Σ2M as wedge sums of some elementary A33–complexes which are 2–connected finite complexes of dimension at most 6. Furthermore, we utilize the Postnikov square (or equivalently Pontryagin square) to find sufficient conditions for the homotopy decompositions of Σ2M to desuspend to that of ΣM.

DOI : 10.2140/agt.2024.24.2933
Keywords: homotopy type, suspension, four-manifolds, $\mathbf{A}_3^3$–complexes

Li, Pengcheng 1

1 Department of Mathematics, School of Sciences, Great Bay University, Dongguan, Guangdong, China 
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Li, Pengcheng. Homotopy types of suspended 4–manifolds. Algebraic and Geometric Topology, Tome 24 (2024) no. 5, pp. 2933-2956. doi: 10.2140/agt.2024.24.2933

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