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Free circle actions
on $(n{-}1)$-connected $(2n{+}1)$-manifolds
Yi Jiang and Yang Su |
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Vol. 338 (2025), No. 1, 1–17
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Abstract |
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We determine those -connected -manifolds with torsion free homology that admit free circle actions up to almost diffeomorphism, provided that mod 8. |
Keywords
circle actions, highly connected manifolds, surgery
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Mathematical Subject Classification
Primary: 57R19, 57S25
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Milestones
Received: 3 October 2024
Revised: 23 April 2025
Accepted: 16 May 2025
Published: 14 June 2025
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Authors |
| Yi Jiang | |
| Academy for Multidisciplinary
Studies Capital Normal University Beijing China |
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| Yang Su | |
| State Key Laboratory of Mathematical
Sciences Chinese Academy of Sciences Beijing China |
School of Mathematical
Sciences University of Chinese Academy of Sciences Bejing China |
| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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