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

Fuente: arXiv
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Autori principali: Belmont, Eva, Isaksen, Daniel C., Kong, Hana Jia
Natura: Preprint
Pubblicazione: 2022
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author Belmont, Eva
Isaksen, Daniel C.
Kong, Hana Jia
author_facet Belmont, Eva
Isaksen, Daniel C.
Kong, Hana Jia
contents 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 $η$-periodic $v_1$-periodic homotopy from the same perspective.
format Preprint
id arxiv_https___arxiv_org_abs_2204_05937
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle $\mathbb{R}$-motivic $v_1$-periodic homotopy
Belmont, Eva
Isaksen, Daniel C.
Kong, Hana Jia
Algebraic Topology
14F42
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 $η$-periodic $v_1$-periodic homotopy from the same perspective.
title $\mathbb{R}$-motivic $v_1$-periodic homotopy
topic Algebraic Topology
14F42
url https://arxiv.org/abs/2204.05937