$p$-local stable splitting of quasitoric manifolds

We show a homotopy decomposition of $p$-localized suspension $ΣM_{(p)}$ of a quasitoric manifold $M$ by constructing power maps. As an application we investigate the $p$-localized suspension of the projection $π$ from the moment-angle complex onto $M$, from which we deduce its triviality for $p>\dim M/2$. We also discuss non-triviality of $π_{(p)}$ and $Σ^\inftyπ$.

No reviews yet.

No comments yet.