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arXiv · 1412.6886

$p$-local stable splitting of quasitoric manifolds

Sho Hasui·Daisuke Kishimoto·Takashi Sato
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Abstract

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 $Σ^\inftyπ$.

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Sho Hasui, Daisuke Kishimoto, Takashi Sato. 2014-12-22. $p$-local stable splitting of quasitoric manifolds. https://arxiv.org/abs/1412.6886

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