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

Fuente: arXiv
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Main Authors: Jiang, Yi, Su, Yang
Format: Preprint
Published: 2024
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_version_ 1866916796415606784
author Jiang, Yi
Su, Yang
author_facet Jiang, Yi
Su, Yang
contents 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 $n\equiv5,7 \mod 8$.
format Preprint
id arxiv_https___arxiv_org_abs_2409_03194
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Free circle actions on $(n-1)$-connected $(2n+1)$-manifolds
Jiang, Yi
Su, Yang
Geometric Topology
Algebraic Topology
57R19, 57S25
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 $n\equiv5,7 \mod 8$.
title Free circle actions on $(n-1)$-connected $(2n+1)$-manifolds
topic Geometric Topology
Algebraic Topology
57R19, 57S25
url https://arxiv.org/abs/2409.03194