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arXiv · 2610.04234

Homotopy rigidity for quasitoric manifolds over a product of simplices

Xin Fu·Tseleung So·Jongbaek Song·Stephen Theriault
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Abstract

We consider a variation of the Cohomological Rigidity Problem: whether two quasitoric manifolds whose cohomology rings are isomorphic are homotopy equivalent. We show that if two quasitoric manifolds have isomorphic cohomology rings and the associated polytope of one of them is a product of simplices, then they are homotopy equivalent after localizing away from an explicit list of primes.

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Xin Fu, Tseleung So, Jongbaek Song, Stephen Theriault. 2026-10-03. Homotopy rigidity for quasitoric manifolds over a product of simplices. https://arxiv.org/abs/2610.04234

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