PL cobordism and classification of PL manifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914876978364416 |
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| author | Shen, Wen |
| author_facet | Shen, Wen |
| contents | In this paper, we present more conclusions for $C^\ast(\mathrm{PL})$ and oriented PL cobordism, and compute the string PL bordism groups of certain dimensions. Then, we apply these results to classify certain PL manifolds of dimensions $10$ and $13$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14028 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | PL cobordism and classification of PL manifolds Shen, Wen Algebraic Topology Geometric Topology 57Q20, 57Q25, 55T15 In this paper, we present more conclusions for $C^\ast(\mathrm{PL})$ and oriented PL cobordism, and compute the string PL bordism groups of certain dimensions. Then, we apply these results to classify certain PL manifolds of dimensions $10$ and $13$. |
| title | PL cobordism and classification of PL manifolds |
| topic | Algebraic Topology Geometric Topology 57Q20, 57Q25, 55T15 |
| url | https://arxiv.org/abs/2407.14028 |