$SU(2)$-bundles over highly connected $8$-manifolds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913357951401984 |
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| author | Basu, Samik Ghosh, Aloke Kr. Sau, Subhankar |
| author_facet | Basu, Samik Ghosh, Aloke Kr. Sau, Subhankar |
| contents | In this paper, we analyze the possible homotopy types of the total space of a principal $SU(2)$-bundle over a $3$-connected $8$-dimensional Poincaré duality complex. Along the way, we also classify the $3$-connected $11$-dimensional complexes $E$ formed from a wedge of $S^4$ and $S^7$ by attaching a $11$-cell. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12835 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $SU(2)$-bundles over highly connected $8$-manifolds Basu, Samik Ghosh, Aloke Kr. Sau, Subhankar Algebraic Topology Primary: 55R25, 57P10, Secondary: 57R19, 55P35 In this paper, we analyze the possible homotopy types of the total space of a principal $SU(2)$-bundle over a $3$-connected $8$-dimensional Poincaré duality complex. Along the way, we also classify the $3$-connected $11$-dimensional complexes $E$ formed from a wedge of $S^4$ and $S^7$ by attaching a $11$-cell. |
| title | $SU(2)$-bundles over highly connected $8$-manifolds |
| topic | Algebraic Topology Primary: 55R25, 57P10, Secondary: 57R19, 55P35 |
| url | https://arxiv.org/abs/2405.12835 |