Daniel C. Isaksen
Published 2009-03-30Version 1
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.
The cohomology of the motivic Steenrod algebra over Spec C
The homology of $\mathrm{tmf}$
Configuration space integrals and the cohomology of the space of homotopy string links
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