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arxiv: 2503.12060 · v1 · pith:EIILQXTZnew · submitted 2025-03-15 · 🧮 math.AG · math.AT· math.KT

Motivic stable stems and Galois approximations of cellular motivic categories

Tom Bachmann , Robert Burklund , Zhouli Xu This is my paper
classification 🧮 math.AG math.ATmath.KT
keywords motiviccategoriescellularfieldsgaloisstablestemsabsolute
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We reconstruct (appropriately completed) categories of cellular motivic spectra over fields of small cohomological dimension in terms of only their absolute Galois groups. As our main application, we determine the motivic stable stems (away from the characteristic) of almost all fields.

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  1. On the metalinear algebraic cobordism spectrum

    math.AT 2026-06 unverdicted novelty 7.0

    MML ≅ MSL ⊕ Σ^{2,1} MGL after fixing a retraction, enabling computations of low Milnor-Witt stems, geometric diagonal, slices, and 2-inverted modules over MML.