Homotopy rigidity for quasitoric manifolds over a product of 𝑑-simplices

Fu, Xin; So, Tseleung; Song, Jongbaek; Theriault, Stephen

doi:10.1090/proc/17081

Homotopy rigidity for quasitoric manifolds over a product of $d$-simplices
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by Xin Fu, Tseleung So, Jongbaek Song and Stephen Theriault;

Proc. Amer. Math. Soc. 153 (2025), 1335-1347

DOI: https://doi.org/10.1090/proc/17081

Published electronically: December 20, 2024

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Abstract:

For a fixed integer $d\geq 1$, we show that two quasitoric manifolds over a product of $d$-simplices are homotopy equivalent after appropriate localization, provided that their integral cohomology rings are isomorphic.

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Homotopy rigidity for quasitoric manifolds over a product of $d$-simplices
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Abstract: