Atoroidal manifolds in small covers

2018/12/24 by Lisu Wu, Wu, Lisu
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1812.09896

openalex publication_date 2018/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a small cover of dimension 3 is atorodal if and only if there is no 4-belt in the corresponding simple polytope.

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