Daisuke Kishimoto

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math.AT2014

$p$ -local stable splitting of quasitoric manifolds

Sho Hasui, Daisuke Kishimoto, Takashi Sato

We show a homotopy decomposition of $p$ -localized suspension $Σ M_{(p)}$ of a quasitoric manifold $M$ by constructing power maps. As an application we investigate the $p$ -localized…

math.AT2014

Homotopy decomposition of diagonal arrangements

Daisuke Kishimoto, Kouyemon Iriye

Given a space $X$ and a simplicial complex $K$ with $m$ -vertices, the arrangement of partially diagonal subspaces of $X^{m}$ , called the dragonal arrangement, is defined. We decompos…

math.AT2014

Samelson products in p-regular exceptional Lie groups

Sho Hasui, Daisuke Kishimoto, Akihiro Ohsita

The (non)triviality of Samelson products of the inclusions of the spheres into p-regular exceptional Lie groups is completely determined, where a connected Lie group is called p-re…

p-local stable splitting of quasitoric manifolds

Homotopy decomposition of diagonal arrangements

Samelson products in p-regular exceptional Lie groups

$p$ -local stable splitting of quasitoric manifolds