The cohomology of motivic A(2)

Details The cohomology of motivic A(2) The cohomology of motivic A(2)

2009-03-30

arxiv.org/abs/0903.5217v1

Mathematics

Algebraic Topology

Scientific paper

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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