p$-local stable cohomological rigidity of quasitoric manifolds

It is proved that if two quasitoric manifolds of dimension $\le 2p^2-4$ for a prime $p$ have isomorphic cohomology rings, then they have the same $p$-local stable homotopy type.

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Bibliographic Details
Main Authors Hasui, Sho, Kishimoto, Daisuke
Format Journal Article
LanguageEnglish
Published 11.05.2016
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Summary:It is proved that if two quasitoric manifolds of dimension $\le 2p^2-4$ for a prime $p$ have isomorphic cohomology rings, then they have the same $p$-local stable homotopy type.
DOI:10.48550/arxiv.1605.03522