3 problems

Spherical framed Floer spectrum identification conjecture. There is a homotopy equivalence of ring spectra

Let the Nakaoka module be presented using generators including $\gamma_{1[1]}^{2^k-1}$, and consider the map induced by the $J$-homomorphism. Sparse-presentation conjecture. There…

Let $J$ be the $J$-homomorphism, let $\beta_j$ denote the indicated cohomology classes associated with $SO$, and let $obreakgamma{1[1]},\gamma{1[2]},\gamma{2[1]}$ denote the cohomol…