The Homotopy Types of Suspended Simply-connected $6$-manifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911770871857152 |
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| author | Li, Pengcheng Zhu, Zhongjian |
| author_facet | Li, Pengcheng Zhu, Zhongjian |
| contents | Under the assumption that certain Adem cohomology operation acts trivially on $H^2(M;\mathbb{Z}/2)$, we determine the homotopy types of the triple suspension $Σ^3M$ of a simply-connected oriented closed topological(or smooth) $6$-manifold $M$, whose integral homology groups can have $2$-torsion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Homotopy Types of Suspended Simply-connected $6$-manifolds Li, Pengcheng Zhu, Zhongjian Algebraic Topology Geometric Topology 55P15, 55P40, 57N65 Under the assumption that certain Adem cohomology operation acts trivially on $H^2(M;\mathbb{Z}/2)$, we determine the homotopy types of the triple suspension $Σ^3M$ of a simply-connected oriented closed topological(or smooth) $6$-manifold $M$, whose integral homology groups can have $2$-torsion. |
| title | The Homotopy Types of Suspended Simply-connected $6$-manifolds |
| topic | Algebraic Topology Geometric Topology 55P15, 55P40, 57N65 |
| url | https://arxiv.org/abs/2402.02450 |