What type of study is this?

This is a Cohort Study study (also classified as: Quantitative Study).

October 13, 2025Open Access

The cohomology of R-motivic A(2)

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Computed cohomology informs Adams spectral sequence for modular forms spectrum, suggesting connections to homotopy groups.

The cohomology of the quotient algebra $mathcal{A}(2)$ is computed using a Bockstein spectral sequence.
Input from $mathbb{C}$-motivic $mathcal{A}(2)$ guides the spectral sequence approach for the computation.
Cohomology results could influence the Adams spectral sequence of an R-motivic modular forms spectrum.
Findings may ultimately provide insights into the homotopy groups of the R-motivic sphere spectrum.

Konstantin Emming (2025) studied this question.

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