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arxiv: 1406.7733 · v1 · pith:M6Z4P47Vnew · submitted 2014-06-30 · 🧮 math.AT

The eta-local motivic sphere

classification 🧮 math.AT
keywords motivicadamscomputedifferentialseta-localspherealgebracohomology
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We compute the h_1-localized cohomology of the motivic Steenrod algebra over C. This serves as the input to an Adams spectral sequence that computes the motivic stable homotopy groups of the eta-local motivic sphere. We compute some of the Adams differentials, and we state a conjecture about the remaining differentials.

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