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arXiv · 2204.05937

$\mathbb{R}$-motivic $v_1$-periodic homotopy

Eva Belmont·Daniel C. Isaksen·Hana Jia Kong
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Abstract

We compute the $v_1$-periodic $\mathbb{R}$-motivic stable homotopy groups. The main tool is the effective slice spectral sequence. Along the way, we also analyze $\mathbb{C}$-motivic and $\eta$-periodic $v_1$-periodic homotopy from the same perspective.

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Eva Belmont, Daniel C. Isaksen, Hana Jia Kong. 2022-04-12. $\mathbb{R}$-motivic $v_1$-periodic homotopy. https://doi.org/10.2140/pjm.2024.330.43

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