$p$-local stable splitting of quasitoric manifolds

Date: 
2014/12/08 Mon 15:00 - 16:00
Room: 
Room 609, Building No.6
Speaker: 
Daisuke Kishimoto
Affiliation: 
Kyoto University
Abstract: 

It is proved that any quasitoric manifold splits into $p-1$ spaces after a suspension and $p$-localization, which generalizes the classical splitting of complex projective spaces. As a corollary it is obtained that the canonical projection from the moment-angle complex onto a given quasitoric manifold is null homotopic after both a suspension and $p$-localization for $p>n$, where the dimension of the quasitoric manifold is $2n$. Nontriviality of this projection with respect to either stabilization or $p$-localization is also discussed.

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