5 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…

Whitehead's conjecture. The map $J'$ is surjective when $r>0$.

Let $G/O$ and $BSO$ be the standard infinite loop spaces, let $\psi^3-1:BSO\to BSO$ be the indicated Adams operation at the prime $2$, and let $BJ:BSO\to BSG$ be induced by the sta…