We construct a topological model for cellular, 2-complete, stable -motivic homotopy theory that uses no algebro-geometric foundations. We compute the Steenrod algebra in this context, and we construct a “motivic modular forms” spectrum over .
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Bogdan Gheorghe, Daniel C. Isaksen, Achim Krause, Nicolas Ricka, -motivic modular forms. J. Eur. Math. Soc. 24 (2022), no. 10, pp. 3597–3628DOI 10.4171/JEMS/1171