Genuine $C_n$-equivariant $\mathrm{TMF}$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909871497019392 |
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| author | Lin, Ying-Hsuan Tominaga, Akira Yamashita, Mayuko |
| author_facet | Lin, Ying-Hsuan Tominaga, Akira Yamashita, Mayuko |
| contents | We determine the $\mathrm{TMF}$-module structures of the genuine $C_2$-equivariant $\mathrm{TMF}$ with $\mathrm{RO}(C_2)$-gradings and of the $C_3$-equivariant $\mathrm{TMF}$. Moreover, we propose a general strategy for studying $C_n$-equivariant $\mathrm{TMF}$ via $U(1)$-equivariant $\mathrm{TMF}$ and a duality phenomenon in equivariant $\mathrm{TMF}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23602 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Genuine $C_n$-equivariant $\mathrm{TMF}$ Lin, Ying-Hsuan Tominaga, Akira Yamashita, Mayuko Algebraic Topology High Energy Physics - Theory We determine the $\mathrm{TMF}$-module structures of the genuine $C_2$-equivariant $\mathrm{TMF}$ with $\mathrm{RO}(C_2)$-gradings and of the $C_3$-equivariant $\mathrm{TMF}$. Moreover, we propose a general strategy for studying $C_n$-equivariant $\mathrm{TMF}$ via $U(1)$-equivariant $\mathrm{TMF}$ and a duality phenomenon in equivariant $\mathrm{TMF}$. |
| title | Genuine $C_n$-equivariant $\mathrm{TMF}$ |
| topic | Algebraic Topology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.23602 |