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

2024/09/05 by Jiang, Yi, Su, Yang
#57R19 #57S25 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2409.03194

Abstract

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≡5,7 \mod 8.

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