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Suspension homotopy of $6$-manifolds

Published 11 Apr 2021 in math.AT and math.GT | (2104.04994v1)

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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