Adams spectral sequence of tmfRP{\mathrm{tmf}}\wedge {\mathbb {RP}}^\infty v2v_2-periodic classes

2 v2v_2-periodic classes

We next look at the five brown classes. There is not much interesting to say about them. They have no periodicity apart from v28v_2^8. For degree reasons, only x16,3x_{16, 3} can potentially hit something, but the target is v1v_1 periodic while this is not. Note however that v28v_2^8 multiples of these need not be permanent, and indeed they will not be.