$p$-local stable splitting of quasitoric manifolds

開催日時
2014/12/08 月 15:00 - 16:00
場所
6号館609号室
講演者
岸本大祐
講演者所属
京都大学
概要

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.

NOTE : date changed.