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Classical stable homotopy groups of spheres via $\mathbb{F}_2$-synthetic methods

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arxiv 2408.00987 v1 pith:WBRBL3VS submitted 2024-08-02 math.AT

Robert Burklund , Daniel C. Isaksen , Zhouli Xu This is my paper · ORCID
classification math.AT
keywords mathbbclassicalgroupshomotopystablesyntheticadamscomputational
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abstract

We study the $\mathbb{F}_2$-synthetic Adams spectral sequence. We obtain new computational information about $\mathbb{C}$-motivic and classical stable homotopy groups.

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Cited by 1 Pith paper

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  1. On the Last Kervaire Invariant Problem

    math.AT 2024-12 conditional novelty 8.0 of 10

    This paper proves that the element h_6^2 is a permanent cycle in the Adams spectral sequence, thereby establishing the existence of framed manifolds of Kervaire invariant one in dimension 126 and resolving the Kervair...

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