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The cohomology of the mod 2 Steenrod algebra

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arxiv 2109.13117 v2 pith:Z53XP3GK submitted 2021-09-27 math.AT

Robert R. Bruner , John Rognes This is my paper · ORCID
classification math.AT
keywords algebrasteenrodcohomologyrangechaincocyclemapsminimal
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abstract

A minimal resolution of the mod 2 Steenrod algebra in the range $0 \leq s \leq 128$, $0 \leq t \leq 200$, together with chain maps for each cocycle in that range and for the squaring operation $Sq^0$ in the cohomology of the Steenrod algebra.

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  1. The rank-five Peterson hit problem, the fifth Singer transfer, and a geometric generator in unoriented cobordism

    math.AT 2026-07 accept novelty 7.0 of 10

    In rank five, the degree-49 cohit module has dimension 2856 with Kameko kernel exactly the weight-(3,3,2,2,1) summand, the fifth Singer transfer is an isomorphism in the family N_d = 27·2^d−5, and the Milnor hypersurf...

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