Stable Adams operations on $RO(C_2)$-graded homotopy groups

Anton Engelmann

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arXiv · 2510.21433

Stable Adams operations on $RO(C_2)$-graded homotopy groups

Anton Engelmann

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Abstract

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 $\Gamma_1(3)$ 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 $\mathbf{TMF}_1(3)$.

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BibTeX RIS

Anton Engelmann. 2025-10-24. Stable Adams operations on $RO(C_2)$-graded homotopy groups. https://arxiv.org/abs/2510.21433

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