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

Yang Su; Yi Jiang

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

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arxiv 2409.03194 v1 pith:IZMKDD6O submitted 2024-09-05 math.GT math.AT

Yi Jiang , Yang Su This is my paper

classification math.GTmath.AT

keywords freeactionscircleconnectedmanifoldsadmitalmostdetermine

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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 $n\equiv5,7 \mod 8$.

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