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$\mathbb{R}$-motivic
$v_1$-periodic homotopy
Eva Belmont, Daniel C. Isaksen and Hana Jia Kong |
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Vol. 330 (2024), No. 1, 43–84
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Abstract |
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We compute the -periodic -motivic stable homotopy groups. The main tool is the effective slice spectral sequence. Along the way, we also analyze -motivic and -periodic -periodic homotopy from the same perspective. |
Keywords
$\mathbb{R}$-motivic image of $J$, $\mathbb{R}$-motivic
$K(1)$-local sphere, effective slice spectral sequence,
motivic stable homotopy group, $v_1$-periodicity
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Mathematical Subject Classification
Primary: 55Q10
Secondary: 14F42, 55Q50, 55T99
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Milestones
Received: 10 November 2023
Revised: 21 May 2024
Accepted: 1 July 2024
Published: 22 July 2024
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Authors |
| Eva Belmont | |
| Department of Mathematics, Applied
Mathematics, and Statistics Case Western Reserve University Cleveland, OH 44106 United States |
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| Daniel C. Isaksen | |
| Department of Mathematics Wayne State University Detroit, MI 48202 United States |
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| Hana Jia Kong | |
| Zhejiang University Hangzhou, Zhejiang 310058 China |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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