Work

A $\mathbb{C}$-motivic $w_1$-self-map of periodicity 1

Year: 2026
Type: preprint
Abstract: Let $\mathrm{DY} = \mathbb{1}/(η, ν) \in \mathrm{SH}(\mathbb{C})$. We construct a $w_1$-self-map of periodicity 1 $w:Σ^{5,3}\mathrm{DY} \to \mathrm{DY}.$ The cofiber is a realization of $DA(1)$, the double of the subalgebra $A(1)$ of the $\mathbb{C}$-motivic Steenrod algebra $A$.
Language: English
Open Access status: green
OpenAlex ID: W7222938916
Cites: 6
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Related to: 10