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arXiv · 2410.23094

The connective KO-theory of the Eilenberg-MacLane space K(Z_2,2), I: the E_2 page

Donald M Davis·W Stephen Wilson
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Abstract

We compute the $E_2$ 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 $H^*(K(Z/2,2);Z_2)$ as a module over the subalgebra of the Steenrod algebra generated by $Sq^1$ and $Sq^2$. Complete analysis of the spectral sequence will be performed in a subsequent paper.

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Donald M Davis, W Stephen Wilson. 2024-10-30. The connective KO-theory of the Eilenberg-MacLane space K(Z_2,2), I: the E_2 page. https://arxiv.org/abs/2410.23094

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