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math.AT2014
-local stable splitting of quasitoric manifolds
Sho Hasui, Daisuke Kishimoto, Takashi Sato
We show a homotopy decomposition of -localized suspension of a quasitoric manifold by constructing power maps. As an application we investigate the -localized…
math.AT2014
The -equivariant Integral Cohomology Ring of
Takashi Sato
We prove the equivariant Leray-Hirsch theorem combinatorially for sufficiently good torus equivariant fiber bundles consisting of homogeneous spaces of Lie groups. We apply this th…
math.AT2013★ 1 cited
The -equivariant integral cohomology ring of
Takashi Sato
We determine the -equivariant integral cohomology of combinatorially by the GKM theory, where T is a maximal torus of the exceptional Lie group and acts on …