The tri-graded additive cohomology of R-motivic A(2) is computed via a ρ-Bockstein spectral sequence (56 indecomposables), with the ring structure only partially determined.
The homotopy of C-motivic modular forms
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abstract
A C-motivic modular forms spectrum mmf has recently been constructed. This article presents detailed computational information on the Adams spectral sequence for mmf. This information is essential for computing with the C-motivic and classical Adams spectral sequences that compute the C-motivic and classical stable homotopy groups of spheres.
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The cohomology of $\mathbb{R}$-motivic $\mathcal{A}(2)$
The tri-graded additive cohomology of R-motivic A(2) is computed via a ρ-Bockstein spectral sequence (56 indecomposables), with the ring structure only partially determined.