Free circle actions on certain simply connected $7-$manifolds
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910059646156800 |
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| author | Xu, Fupeng |
| author_facet | Xu, Fupeng |
| contents | In this paper, we determine for which nonnegative integers $k$, $l$ and for which homotopy $7-$sphere $Σ$ the manifold $kS^{2}\times S^{5}\#lS^{3}\times S^{4}\#Σ$ admits a free smooth circle action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04938 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free circle actions on certain simply connected $7-$manifolds Xu, Fupeng Geometric Topology Algebraic Topology 55R15 55R40 In this paper, we determine for which nonnegative integers $k$, $l$ and for which homotopy $7-$sphere $Σ$ the manifold $kS^{2}\times S^{5}\#lS^{3}\times S^{4}\#Σ$ admits a free smooth circle action. |
| title | Free circle actions on certain simply connected $7-$manifolds |
| topic | Geometric Topology Algebraic Topology 55R15 55R40 |
| url | https://arxiv.org/abs/2409.04938 |