Free circle actions on certain simply connected \(7-\)manifolds
In this paper, we determine for which nonnegative integers \(k\), \(l\) and for which homotopy \(7-\)sphere \(\Sigma\) the manifold \(kS^{2}\times S^{5}\#lS^{3}\times S^{4}\#\Sigma\) admits a free smooth circle action.
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| Veröffentlicht in: | arXiv.org 2024-09 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we determine for which nonnegative integers \(k\), \(l\) and for which homotopy \(7-\)sphere \(\Sigma\) the manifold \(kS^{2}\times S^{5}\#lS^{3}\times S^{4}\#\Sigma\) admits a free smooth circle action. |
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| ISSN: | 2331-8422 |