Free cyclic group actions on highly-connected 2n-manifolds

2019/11/29 by Yang Su, Su, Yang, Yang Jian-qiang +1
Computer Science · Mathematics · #57R19 #57R65 #57S17 #57S25 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1911.13186

openalex publication_date 2019/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study smooth orientation-preserving free actions of the cyclic group \mathbb Z/m on a class of (n-1)-connected 2n-manifolds, \sharp g (Sⁿ × Sⁿ)\sharp Σ, where Σ is a homotopy 2n-sphere. When n=2 we obtain a classification up to topological conjugation. When n=3 we obtain a classification up to smooth conjugation. When n ≥ 4 we obtain a classification up to smooth conjugation when the prime factors of m are larger than a constant C(n).

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