Abstract
We show a homotopy decomposition of the $p$-localized suspension $\Sigma M_{(p)}$ of a quasitoric manifold $M$ by constructing power maps. As an application we investigate the $p$-localized suspension of the projection $\pi$ from the moment-angle complex onto $M$, from which we deduce its triviality for $p>\dim M/2$. We also discuss non-triviality of $\pi_{(p)}$ and $\Sigma^{\infty}\pi$.
Citation
Sho Hasui. Daisuke Kishimoto. Takashi Sato. "$p$-local stable splitting of quasitoric manifolds." Osaka J. Math. 53 (3) 843 - 854, July 2016.
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