Non-null framed bordant simple Lie groups
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917741358743552 |
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| author | Minami, Haruo |
| author_facet | Minami, Haruo |
| contents | Let $G$ be a compact simple Lie group equipped with the left invariant framing $L$. It is known that there are several groups $G$ such that $(G, L)$ is non-null framed bordant. Previously we gave an alternative proof of these results using the decomposition formula of its bordism class into a Kronecker product by E. Ossa. In this note we propose a verification formula by reconsidering it, through a little more ingenious in the use of this product formula, and try to apply it to the non-null bordantness results above. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02682 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-null framed bordant simple Lie groups Minami, Haruo Algebraic Topology 22E46, 55Q45 Let $G$ be a compact simple Lie group equipped with the left invariant framing $L$. It is known that there are several groups $G$ such that $(G, L)$ is non-null framed bordant. Previously we gave an alternative proof of these results using the decomposition formula of its bordism class into a Kronecker product by E. Ossa. In this note we propose a verification formula by reconsidering it, through a little more ingenious in the use of this product formula, and try to apply it to the non-null bordantness results above. |
| title | Non-null framed bordant simple Lie groups |
| topic | Algebraic Topology 22E46, 55Q45 |
| url | https://arxiv.org/abs/2408.02682 |