p-local stable splitting of quasitoric manifolds

Sho Hasui; Daisuke Kishimoto; Takashi Sato

p-local stable splitting of quasitoric manifolds

Sho Hasui, Daisuke Kishimoto, Takashi Sato

Research output: Contribution to journal › Article › peer-review

Abstract

We show a homotopy decomposition of the 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^∞π.

Original language	English
Pages (from-to)	843-854
Number of pages	12
Journal	Osaka Journal of Mathematics
Volume	53
Issue number	3
Publication status	Published - Jul 2016
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

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title = "p-local stable splitting of quasitoric manifolds",

abstract = "We show a homotopy decomposition of the 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∞π.",

author = "Sho Hasui and Daisuke Kishimoto and Takashi Sato",

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language = "English",

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AB - We show a homotopy decomposition of the 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∞π.

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JO - Osaka Journal of Mathematics

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p-local stable splitting of quasitoric manifolds

Abstract

All Science Journal Classification (ASJC) codes

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