Stable Adams operations on $RO(C_2)$-graded homotopy groups
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917039889711104 |
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| author | Engelmann, Anton |
| author_facet | Engelmann, Anton |
| contents | The $C_2$-spectrum of Atiyah's Real $K$-theory is denoted by $\mathbf{KR}$ and the $C_2$-spectrum of topological modular forms of level structure $Γ_1(3)$ by $\mathbf{TMF}_1(3)$. In this short note we compute the $C_2$-equivariant stable Adams operations on the $RO(C_2)$-graded homotopy groups of $\mathbf{KR}$ and $\mathbf{TMF}_1(3)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21433 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stable Adams operations on $RO(C_2)$-graded homotopy groups Engelmann, Anton Algebraic Topology The $C_2$-spectrum of Atiyah's Real $K$-theory is denoted by $\mathbf{KR}$ and the $C_2$-spectrum of topological modular forms of level structure $Γ_1(3)$ by $\mathbf{TMF}_1(3)$. In this short note we compute the $C_2$-equivariant stable Adams operations on the $RO(C_2)$-graded homotopy groups of $\mathbf{KR}$ and $\mathbf{TMF}_1(3)$. |
| title | Stable Adams operations on $RO(C_2)$-graded homotopy groups |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2510.21433 |