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

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

Pacific J. Math. 330 (2024) 43-84 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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Bibliographische Detailangaben
Hauptverfasser:	Belmont, Eva, Isaksen, Daniel C, Kong, Hana Jia
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Topology
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Beschreibung
Zusammenfassung:	Pacific J. Math. 330 (2024) 43-84 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.
DOI:	10.48550/arxiv.2204.05937