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arXiv · 0903.5217

The cohomology of motivic A(2)

Daniel C. Isaksen
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Abstract

Working over an algebraically closed field of characteristic zero, we compute the cohomology of the subalgebra A(2) of the motivic Steenrod algebra that is generated by Sq^1, Sq^2, and Sq^4. The method of calculation is a motivic version of the May spectral sequence. Speculatively assuming that there is a "motivic modular forms" spectrum with certain properties, we use an Adams-Novikov spectral sequence to compute the homotopy of such a spectrum at the prime 2.

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Daniel C. Isaksen. 2009-03-30. The cohomology of motivic A(2). https://arxiv.org/abs/0903.5217

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