Work

Homotopy rigidity for quasitoric manifolds over a product of simplices

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.04234

Authors: Fu, Xin, So, Tseleung, Song, Jongbaek, Theriault, Stephen

Institution: Shanghai Institute for Mathematics and Interdisciplinary Sciences

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7220664111

Cites: 1

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Related to: 10