C-motivic modular forms

Abstract

We construct a topological model for cellular, 2-complete, stable C-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 C.

References in corpus (1)

• Exotic Motivic Periodicities

Cited by in corpus (6)

• Stable homotopy groups of spheres
• The Mahowald operator in the cohomology of the Steenrod algebra
• Goerss--Hopkins obstruction theory for $\infty$-categories
• ${\mathbb{E}}_{\infty }$ automorphisms of motivic Morava $E$-theories
• Moduli stack of oriented formal groups and cellular motivic spectra over $\mathbf{C}$
• The $\mathbb{C}$-motivic wedge subalgebra