Year: 2025
Type: article
Abstract: In this note I give a conceptual proof of the fact that the mod 2 dual Steenrod algebra corepresents the group scheme of strict automorphisms of the formal additive group over $${\mathbb {F}}_2$$ F 2 . Contrary to existing proofs, it does not use the $$E_\infty $$ E ∞ -structure of $$H{\mathbb {F}}_2$$ H F 2 (Steenrod operations), nor does it proceed by producing a generators-and-relations presentation by some explicit calculation. Instead it relies on universal properties of bordism spectra, thus giving a stronger conceptual foundation for what is arguably the first instance of the well-studied deep connection between the algebraic geometry of formal groups and the stable homotopy category.
Author: Kiran Luecke
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W4416689868