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arXiv · 2104.04994

Suspension homotopy of $6$-manifolds

Ruizhi Huang
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Abstract

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

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Ruizhi Huang. 2021-04-11. Suspension homotopy of $6$-manifolds. https://doi.org/10.2140/agt.2023.23.439

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