The $P_2^1$ Margolis homology of connective topological modular forms

Prasit Bhattacharya, Irina Bobkova, Brian Thomas

The element $P_2^1$ of the mod 2 Steenrod algebra has the property $(P_2^1{)}^2=0$. This property allows one to view $P_2^1$ as a differential on $H_{\ast }(X,{\mathbb{F}}_2)$ for any spect…