The connective KO-theory of the Eilenberg-MacLane space K(Z₂,2), I: the E₂ page

2024/10/30 by Donald M. Davis, Davis, Donald M, W. Stephen Wilson +1
Computer Science · Mathematics · #55N15 #55N20 #55S10 #55T15 #Algebraic Topology (math.AT) #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric and Algebraic Topology #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2410.23094

openalex publication_date 2024/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the E₂ page of the Adams spectral sequence converging to the connective KO-theory of the second mod 2 Eilenberg-MacLane space, ko_*(K(Z/2,2)). This required a careful analysis of the structure of H^*(K(Z/2,2);Z₂) as a module over the subalgebra of the Steenrod algebra generated by Sq¹ and Sq². Complete analysis of the spectral sequence will be performed in a subsequent paper.

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