Geodesic
Suspension homotopy of 6–manifolds
Huang, Ruizhi1
1 Institute of Mathematics, Chinese Academy of Sciences, Beijing, China
Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 439-460

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

For a simply connected closed orientable manifold of dimension 6, we compute its homotopy decomposition after double suspension. This allows us to determine its K– and KO–groups easily. Moreover, in a special case we refine the decomposition to show the rigidity property of the manifold after double suspension.

DOI : 10.2140/agt.2023.23.439
Keywords: $6$–manifolds, homotopy decomposition, loop spaces, coformal spaces, homotopy groups, Poincaré duality space, $K$–groups

Huang, Ruizhi 1

1 Institute of Mathematics, Chinese Academy of Sciences, Beijing, China 
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Huang, Ruizhi. Suspension homotopy of 6–manifolds. Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 439-460. doi: 10.2140/agt.2023.23.439

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