Cobordism of G-manifolds
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917594089390080 |
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| author | Carlisle, Jack |
| author_facet | Carlisle, Jack |
| contents | We survey some results in the field of equivariant cobordism. In particular, we use methods from equivariant stable homotopy theory to calculate the unoriented $C_2$-equivariant bordism ring $Ω^{C_2}_*$, which was originally calculated by Alexander using other methods. Our proof method generalizes well to other settings, such as equivariant complex cobordism, and affords a formal group theoretic interpretation of Alexander's calculation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cobordism of G-manifolds Carlisle, Jack Algebraic Topology Primary 55-02, 55N22, 55P91 We survey some results in the field of equivariant cobordism. In particular, we use methods from equivariant stable homotopy theory to calculate the unoriented $C_2$-equivariant bordism ring $Ω^{C_2}_*$, which was originally calculated by Alexander using other methods. Our proof method generalizes well to other settings, such as equivariant complex cobordism, and affords a formal group theoretic interpretation of Alexander's calculation. |
| title | Cobordism of G-manifolds |
| topic | Algebraic Topology Primary 55-02, 55N22, 55P91 |
| url | https://arxiv.org/abs/2402.12478 |