Free circle actions on $(n-1)$-connected $(2n+1)$-manifolds

• DOI: 10.48550/arxiv.2409.03194
• Publication Date: 2024-01-01
• Authors: Jiang, Yi; Su, Yang
• Keywords: 57R19, 57S25; Mathematics - Geometric Topology; FOS: Mathematics; Algebraic Topology (math.AT); Geometric Topology (math.GT); Mathematics - Algebraic Topology

In this paper, we determine those $(n-1)$-connected $(2n+1)$-manifolds with torsion free homology that admit free circle actions up to almost diffeomorphism, provided that $n\equiv5,7 \mod 8$.<br/>8 pages<br/>